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Finding the Third Proportional to 74,023.88 and 110,542.50

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Solution

The third proportional to 74,023.88 and 110,542.50 is: 165,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,023.88 : 110,542.50 = 110,542.50 : x
  2. Step 2: Convert to fraction form
    74,023.88/110,542.50 = 110,542.50/x
  3. Step 3: Cross multiply
    74,023.88x = 110,542.50 × 110,542.50
  4. Step 4: Simplify right side
    74,023.88x = 12,219,644,306.25
  5. Step 5: Solve for x
    x = 12,219,644,306.25/74,023.88
  6. Step 6: Final answer
    x = 165,077.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.