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Finding the Third Proportional to 78,347.50 and 119,358.25

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Solution

The third proportional to 78,347.50 and 119,358.25 is: 181,835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,347.50 : 119,358.25 = 119,358.25 : x
  2. Step 2: Convert to fraction form
    78,347.50/119,358.25 = 119,358.25/x
  3. Step 3: Cross multiply
    78,347.50x = 119,358.25 × 119,358.25
  4. Step 4: Simplify right side
    78,347.50x = 14,246,391,843.06
  5. Step 5: Solve for x
    x = 14,246,391,843.06/78,347.50
  6. Step 6: Final answer
    x = 181,835.95

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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.