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Finding the Third Proportional to 74,821.50 and 109,441.13

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Solution

The third proportional to 74,821.50 and 109,441.13 is: 160,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,821.50 : 109,441.13 = 109,441.13 : x
  2. Step 2: Convert to fraction form
    74,821.50/109,441.13 = 109,441.13/x
  3. Step 3: Cross multiply
    74,821.50x = 109,441.13 × 109,441.13
  4. Step 4: Simplify right side
    74,821.50x = 11,977,359,841.27
  5. Step 5: Solve for x
    x = 11,977,359,841.27/74,821.50
  6. Step 6: Final answer
    x = 160,079.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.