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Finding the Third Proportional to 103,640 and 131,472

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Solution

The third proportional to 103,640 and 131,472 is: 166,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640 : 131,472 = 131,472 : x
  2. Step 2: Convert to fraction form
    103,640/131,472 = 131,472/x
  3. Step 3: Cross multiply
    103,640x = 131,472 × 131,472
  4. Step 4: Simplify right side
    103,640x = 17,284,886,784
  5. Step 5: Solve for x
    x = 17,284,886,784/103,640
  6. Step 6: Final answer
    x = 166,778.14

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.