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Finding the Third Proportional to 49,292 and 75,842

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Solution

The third proportional to 49,292 and 75,842 is: 116,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,292 : 75,842 = 75,842 : x
  2. Step 2: Convert to fraction form
    49,292/75,842 = 75,842/x
  3. Step 3: Cross multiply
    49,292x = 75,842 × 75,842
  4. Step 4: Simplify right side
    49,292x = 5,752,008,964
  5. Step 5: Solve for x
    x = 5,752,008,964/49,292
  6. Step 6: Final answer
    x = 116,692.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.