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Finding the Third Proportional to 49,765 and 77,057

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Solution

The third proportional to 49,765 and 77,057 is: 119,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,765 : 77,057 = 77,057 : x
  2. Step 2: Convert to fraction form
    49,765/77,057 = 77,057/x
  3. Step 3: Cross multiply
    49,765x = 77,057 × 77,057
  4. Step 4: Simplify right side
    49,765x = 5,937,781,249
  5. Step 5: Solve for x
    x = 5,937,781,249/49,765
  6. Step 6: Final answer
    x = 119,316.41

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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.