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Finding the Third Proportional to 74,314.13 and 112,891.22

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Solution

The third proportional to 74,314.13 and 112,891.22 is: 171,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,314.13 : 112,891.22 = 112,891.22 : x
  2. Step 2: Convert to fraction form
    74,314.13/112,891.22 = 112,891.22/x
  3. Step 3: Cross multiply
    74,314.13x = 112,891.22 × 112,891.22
  4. Step 4: Simplify right side
    74,314.13x = 12,744,427,270.86
  5. Step 5: Solve for x
    x = 12,744,427,270.86/74,314.13
  6. Step 6: Final answer
    x = 171,494.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.