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Finding the Third Proportional to 78,324.75 and 119,323.13

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Solution

The third proportional to 78,324.75 and 119,323.13 is: 181,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,324.75 : 119,323.13 = 119,323.13 : x
  2. Step 2: Convert to fraction form
    78,324.75/119,323.13 = 119,323.13/x
  3. Step 3: Cross multiply
    78,324.75x = 119,323.13 × 119,323.13
  4. Step 4: Simplify right side
    78,324.75x = 14,238,008,159.77
  5. Step 5: Solve for x
    x = 14,238,008,159.77/78,324.75
  6. Step 6: Final answer
    x = 181,781.72

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