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Finding the Third Proportional to 49,200.63 and 78,326.13

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Solution

The third proportional to 49,200.63 and 78,326.13 is: 124,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,200.63 : 78,326.13 = 78,326.13 : x
  2. Step 2: Convert to fraction form
    49,200.63/78,326.13 = 78,326.13/x
  3. Step 3: Cross multiply
    49,200.63x = 78,326.13 × 78,326.13
  4. Step 4: Simplify right side
    49,200.63x = 6,134,981,857.52
  5. Step 5: Solve for x
    x = 6,134,981,857.52/49,200.63
  6. Step 6: Final answer
    x = 124,693.17

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