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Finding the Third Proportional to 61,815.75 and 95,639.25

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Solution

The third proportional to 61,815.75 and 95,639.25 is: 147,969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,815.75 : 95,639.25 = 95,639.25 : x
  2. Step 2: Convert to fraction form
    61,815.75/95,639.25 = 95,639.25/x
  3. Step 3: Cross multiply
    61,815.75x = 95,639.25 × 95,639.25
  4. Step 4: Simplify right side
    61,815.75x = 9,146,866,140.56
  5. Step 5: Solve for x
    x = 9,146,866,140.56/61,815.75
  6. Step 6: Final answer
    x = 147,969.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.