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Finding the Third Proportional to 78,862.22 and 119,233.97

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Solution

The third proportional to 78,862.22 and 119,233.97 is: 180,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,862.22 : 119,233.97 = 119,233.97 : x
  2. Step 2: Convert to fraction form
    78,862.22/119,233.97 = 119,233.97/x
  3. Step 3: Cross multiply
    78,862.22x = 119,233.97 × 119,233.97
  4. Step 4: Simplify right side
    78,862.22x = 14,216,739,303.88
  5. Step 5: Solve for x
    x = 14,216,739,303.88/78,862.22
  6. Step 6: Final answer
    x = 180,273.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.