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Finding the Third Proportional to 50,292 and 77,898

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Solution

The third proportional to 50,292 and 77,898 is: 120,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,292 : 77,898 = 77,898 : x
  2. Step 2: Convert to fraction form
    50,292/77,898 = 77,898/x
  3. Step 3: Cross multiply
    50,292x = 77,898 × 77,898
  4. Step 4: Simplify right side
    50,292x = 6,068,098,404
  5. Step 5: Solve for x
    x = 6,068,098,404/50,292
  6. Step 6: Final answer
    x = 120,657.33

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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.