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Finding the Third Proportional to 101,169 and 157,342.50

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Solution

The third proportional to 101,169 and 157,342.50 is: 244,706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,169 : 157,342.50 = 157,342.50 : x
  2. Step 2: Convert to fraction form
    101,169/157,342.50 = 157,342.50/x
  3. Step 3: Cross multiply
    101,169x = 157,342.50 × 157,342.50
  4. Step 4: Simplify right side
    101,169x = 24,756,662,306.25
  5. Step 5: Solve for x
    x = 24,756,662,306.25/101,169
  6. Step 6: Final answer
    x = 244,706.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.