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Finding the Third Proportional to 49,065 and 77,819.75

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Solution

The third proportional to 49,065 and 77,819.75 is: 123,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,065 : 77,819.75 = 77,819.75 : x
  2. Step 2: Convert to fraction form
    49,065/77,819.75 = 77,819.75/x
  3. Step 3: Cross multiply
    49,065x = 77,819.75 × 77,819.75
  4. Step 4: Simplify right side
    49,065x = 6,055,913,490.06
  5. Step 5: Solve for x
    x = 6,055,913,490.06/49,065
  6. Step 6: Final answer
    x = 123,426.34

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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.