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Finding the Third Proportional to 78,348.38 and 119,359.13

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Solution

The third proportional to 78,348.38 and 119,359.13 is: 181,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,348.38 : 119,359.13 = 119,359.13 : x
  2. Step 2: Convert to fraction form
    78,348.38/119,359.13 = 119,359.13/x
  3. Step 3: Cross multiply
    78,348.38x = 119,359.13 × 119,359.13
  4. Step 4: Simplify right side
    78,348.38x = 14,246,600,720.77
  5. Step 5: Solve for x
    x = 14,246,600,720.77/78,348.38
  6. Step 6: Final answer
    x = 181,836.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.