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Finding the Third Proportional to 101,472 and 161,605

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Solution

The third proportional to 101,472 and 161,605 is: 257,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,472 : 161,605 = 161,605 : x
  2. Step 2: Convert to fraction form
    101,472/161,605 = 161,605/x
  3. Step 3: Cross multiply
    101,472x = 161,605 × 161,605
  4. Step 4: Simplify right side
    101,472x = 26,116,176,025
  5. Step 5: Solve for x
    x = 26,116,176,025/101,472
  6. Step 6: Final answer
    x = 257,373.23

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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.