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Finding the Third Proportional to 101,470 and 161,602

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Solution

The third proportional to 101,470 and 161,602 is: 257,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,470 : 161,602 = 161,602 : x
  2. Step 2: Convert to fraction form
    101,470/161,602 = 161,602/x
  3. Step 3: Cross multiply
    101,470x = 161,602 × 161,602
  4. Step 4: Simplify right side
    101,470x = 26,115,206,404
  5. Step 5: Solve for x
    x = 26,115,206,404/101,470
  6. Step 6: Final answer
    x = 257,368.74

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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.