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Finding the Third Proportional to 57,484 and 86,304

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Solution

The third proportional to 57,484 and 86,304 is: 129,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,484 : 86,304 = 86,304 : x
  2. Step 2: Convert to fraction form
    57,484/86,304 = 86,304/x
  3. Step 3: Cross multiply
    57,484x = 86,304 × 86,304
  4. Step 4: Simplify right side
    57,484x = 7,448,380,416
  5. Step 5: Solve for x
    x = 7,448,380,416/57,484
  6. Step 6: Final answer
    x = 129,573.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.