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Finding the Third Proportional to 101,470.50 and 161,602.75

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Solution

The third proportional to 101,470.50 and 161,602.75 is: 257,369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,470.50 : 161,602.75 = 161,602.75 : x
  2. Step 2: Convert to fraction form
    101,470.50/161,602.75 = 161,602.75/x
  3. Step 3: Cross multiply
    101,470.50x = 161,602.75 × 161,602.75
  4. Step 4: Simplify right side
    101,470.50x = 26,115,448,807.56
  5. Step 5: Solve for x
    x = 26,115,448,807.56/101,470.50
  6. Step 6: Final answer
    x = 257,369.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.