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Finding the Third Proportional to 62,766 and 96,153.75

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Solution

The third proportional to 62,766 and 96,153.75 is: 147,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,766 : 96,153.75 = 96,153.75 : x
  2. Step 2: Convert to fraction form
    62,766/96,153.75 = 96,153.75/x
  3. Step 3: Cross multiply
    62,766x = 96,153.75 × 96,153.75
  4. Step 4: Simplify right side
    62,766x = 9,245,543,639.06
  5. Step 5: Solve for x
    x = 9,245,543,639.06/62,766
  6. Step 6: Final answer
    x = 147,301.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.