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Finding the Third Proportional to 37,999.13 and 74,074.50

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Solution

The third proportional to 37,999.13 and 74,074.50 is: 144,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,999.13 : 74,074.50 = 74,074.50 : x
  2. Step 2: Convert to fraction form
    37,999.13/74,074.50 = 74,074.50/x
  3. Step 3: Cross multiply
    37,999.13x = 74,074.50 × 74,074.50
  4. Step 4: Simplify right side
    37,999.13x = 5,487,031,550.25
  5. Step 5: Solve for x
    x = 5,487,031,550.25/37,999.13
  6. Step 6: Final answer
    x = 144,398.89

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.