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Finding the Third Proportional to 61,010 and 89,535

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Solution

The third proportional to 61,010 and 89,535 is: 131,396.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,010 : 89,535 = 89,535 : x
  2. Step 2: Convert to fraction form
    61,010/89,535 = 89,535/x
  3. Step 3: Cross multiply
    61,010x = 89,535 × 89,535
  4. Step 4: Simplify right side
    61,010x = 8,016,516,225
  5. Step 5: Solve for x
    x = 8,016,516,225/61,010
  6. Step 6: Final answer
    x = 131,396.76

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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.