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Finding the Third Proportional to 58,448 and 90,472

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Solution

The third proportional to 58,448 and 90,472 is: 140,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,448 : 90,472 = 90,472 : x
  2. Step 2: Convert to fraction form
    58,448/90,472 = 90,472/x
  3. Step 3: Cross multiply
    58,448x = 90,472 × 90,472
  4. Step 4: Simplify right side
    58,448x = 8,185,182,784
  5. Step 5: Solve for x
    x = 8,185,182,784/58,448
  6. Step 6: Final answer
    x = 140,042.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.