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Finding the Third Proportional to 57,058 and 75,727.50

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Solution

The third proportional to 57,058 and 75,727.50 is: 100,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,058 : 75,727.50 = 75,727.50 : x
  2. Step 2: Convert to fraction form
    57,058/75,727.50 = 75,727.50/x
  3. Step 3: Cross multiply
    57,058x = 75,727.50 × 75,727.50
  4. Step 4: Simplify right side
    57,058x = 5,734,654,256.25
  5. Step 5: Solve for x
    x = 5,734,654,256.25/57,058
  6. Step 6: Final answer
    x = 100,505.70

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.