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Finding the Third Proportional to 49,292 and 77,225

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Solution

The third proportional to 49,292 and 77,225 is: 120,987.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,292 : 77,225 = 77,225 : x
  2. Step 2: Convert to fraction form
    49,292/77,225 = 77,225/x
  3. Step 3: Cross multiply
    49,292x = 77,225 × 77,225
  4. Step 4: Simplify right side
    49,292x = 5,963,700,625
  5. Step 5: Solve for x
    x = 5,963,700,625/49,292
  6. Step 6: Final answer
    x = 120,987.19

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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.