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Finding the Third Proportional to 45,640 and 72,472

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Solution

The third proportional to 45,640 and 72,472 is: 115,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,640 : 72,472 = 72,472 : x
  2. Step 2: Convert to fraction form
    45,640/72,472 = 72,472/x
  3. Step 3: Cross multiply
    45,640x = 72,472 × 72,472
  4. Step 4: Simplify right side
    45,640x = 5,252,190,784
  5. Step 5: Solve for x
    x = 5,252,190,784/45,640
  6. Step 6: Final answer
    x = 115,078.68

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