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Finding the Third Proportional to 49,280.25 and 77,217

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Solution

The third proportional to 49,280.25 and 77,217 is: 120,990.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,280.25 : 77,217 = 77,217 : x
  2. Step 2: Convert to fraction form
    49,280.25/77,217 = 77,217/x
  3. Step 3: Cross multiply
    49,280.25x = 77,217 × 77,217
  4. Step 4: Simplify right side
    49,280.25x = 5,962,465,089
  5. Step 5: Solve for x
    x = 5,962,465,089/49,280.25
  6. Step 6: Final answer
    x = 120,990.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.