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Finding the Third Proportional to 57,408 and 88,712

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Solution

The third proportional to 57,408 and 88,712 is: 137,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,408 : 88,712 = 88,712 : x
  2. Step 2: Convert to fraction form
    57,408/88,712 = 88,712/x
  3. Step 3: Cross multiply
    57,408x = 88,712 × 88,712
  4. Step 4: Simplify right side
    57,408x = 7,869,818,944
  5. Step 5: Solve for x
    x = 7,869,818,944/57,408
  6. Step 6: Final answer
    x = 137,085.75

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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.