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Finding the Third Proportional to 49,359 and 77,337

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Solution

The third proportional to 49,359 and 77,337 is: 121,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,359 : 77,337 = 77,337 : x
  2. Step 2: Convert to fraction form
    49,359/77,337 = 77,337/x
  3. Step 3: Cross multiply
    49,359x = 77,337 × 77,337
  4. Step 4: Simplify right side
    49,359x = 5,981,011,569
  5. Step 5: Solve for x
    x = 5,981,011,569/49,359
  6. Step 6: Final answer
    x = 121,173.68

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