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Finding the Third Proportional to 49,061.81 and 77,815.13

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Solution

The third proportional to 49,061.81 and 77,815.13 is: 123,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,061.81 : 77,815.13 = 77,815.13 : x
  2. Step 2: Convert to fraction form
    49,061.81/77,815.13 = 77,815.13/x
  3. Step 3: Cross multiply
    49,061.81x = 77,815.13 × 77,815.13
  4. Step 4: Simplify right side
    49,061.81x = 6,055,193,678.77
  5. Step 5: Solve for x
    x = 6,055,193,678.77/49,061.81
  6. Step 6: Final answer
    x = 123,419.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.