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Finding the Third Proportional to 78,320.25 and 119,319.75

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Solution

The third proportional to 78,320.25 and 119,319.75 is: 181,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,320.25 : 119,319.75 = 119,319.75 : x
  2. Step 2: Convert to fraction form
    78,320.25/119,319.75 = 119,319.75/x
  3. Step 3: Cross multiply
    78,320.25x = 119,319.75 × 119,319.75
  4. Step 4: Simplify right side
    78,320.25x = 14,237,202,740.06
  5. Step 5: Solve for x
    x = 14,237,202,740.06/78,320.25
  6. Step 6: Final answer
    x = 181,781.89

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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.