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Finding the Third Proportional to 49,767 and 77,060

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Solution

The third proportional to 49,767 and 77,060 is: 119,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,767 : 77,060 = 77,060 : x
  2. Step 2: Convert to fraction form
    49,767/77,060 = 77,060/x
  3. Step 3: Cross multiply
    49,767x = 77,060 × 77,060
  4. Step 4: Simplify right side
    49,767x = 5,938,243,600
  5. Step 5: Solve for x
    x = 5,938,243,600/49,767
  6. Step 6: Final answer
    x = 119,320.91

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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.