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Finding the Third Proportional to 78,306.75 and 119,296.13

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Solution

The third proportional to 78,306.75 and 119,296.13 is: 181,741.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,306.75 : 119,296.13 = 119,296.13 : x
  2. Step 2: Convert to fraction form
    78,306.75/119,296.13 = 119,296.13/x
  3. Step 3: Cross multiply
    78,306.75x = 119,296.13 × 119,296.13
  4. Step 4: Simplify right side
    78,306.75x = 14,231,565,440.02
  5. Step 5: Solve for x
    x = 14,231,565,440.02/78,306.75
  6. Step 6: Final answer
    x = 181,741.23

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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.