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Finding the Third Proportional to 57,068 and 88,710

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Solution

The third proportional to 57,068 and 88,710 is: 137,896.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,068 : 88,710 = 88,710 : x
  2. Step 2: Convert to fraction form
    57,068/88,710 = 88,710/x
  3. Step 3: Cross multiply
    57,068x = 88,710 × 88,710
  4. Step 4: Simplify right side
    57,068x = 7,869,464,100
  5. Step 5: Solve for x
    x = 7,869,464,100/57,068
  6. Step 6: Final answer
    x = 137,896.27

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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.