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Finding the Third Proportional to 57,486.38 and 85,875.56

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Solution

The third proportional to 57,486.38 and 85,875.56 is: 128,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,486.38 : 85,875.56 = 85,875.56 : x
  2. Step 2: Convert to fraction form
    57,486.38/85,875.56 = 85,875.56/x
  3. Step 3: Cross multiply
    57,486.38x = 85,875.56 × 85,875.56
  4. Step 4: Simplify right side
    57,486.38x = 7,374,612,234.69
  5. Step 5: Solve for x
    x = 7,374,612,234.69/57,486.38
  6. Step 6: Final answer
    x = 128,284.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.