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Finding the Third Proportional to 57,630 and 85,610

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Solution

The third proportional to 57,630 and 85,610 is: 127,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,630 : 85,610 = 85,610 : x
  2. Step 2: Convert to fraction form
    57,630/85,610 = 85,610/x
  3. Step 3: Cross multiply
    57,630x = 85,610 × 85,610
  4. Step 4: Simplify right side
    57,630x = 7,329,072,100
  5. Step 5: Solve for x
    x = 7,329,072,100/57,630
  6. Step 6: Final answer
    x = 127,174.60

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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.