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Finding the Third Proportional to 74,854.13 and 110,092.50

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Solution

The third proportional to 74,854.13 and 110,092.50 is: 161,919.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,854.13 : 110,092.50 = 110,092.50 : x
  2. Step 2: Convert to fraction form
    74,854.13/110,092.50 = 110,092.50/x
  3. Step 3: Cross multiply
    74,854.13x = 110,092.50 × 110,092.50
  4. Step 4: Simplify right side
    74,854.13x = 12,120,358,556.25
  5. Step 5: Solve for x
    x = 12,120,358,556.25/74,854.13
  6. Step 6: Final answer
    x = 161,919.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.