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Finding the Third Proportional to 61,452 and 90,146

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Solution

The third proportional to 61,452 and 90,146 is: 132,238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,452 : 90,146 = 90,146 : x
  2. Step 2: Convert to fraction form
    61,452/90,146 = 90,146/x
  3. Step 3: Cross multiply
    61,452x = 90,146 × 90,146
  4. Step 4: Simplify right side
    61,452x = 8,126,301,316
  5. Step 5: Solve for x
    x = 8,126,301,316/61,452
  6. Step 6: Final answer
    x = 132,238.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.