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Finding the Third Proportional to 61,916.50 and 95,665

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Solution

The third proportional to 61,916.50 and 95,665 is: 147,808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,916.50 : 95,665 = 95,665 : x
  2. Step 2: Convert to fraction form
    61,916.50/95,665 = 95,665/x
  3. Step 3: Cross multiply
    61,916.50x = 95,665 × 95,665
  4. Step 4: Simplify right side
    61,916.50x = 9,151,792,225
  5. Step 5: Solve for x
    x = 9,151,792,225/61,916.50
  6. Step 6: Final answer
    x = 147,808.62

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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.