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Finding the Third Proportional to 75,551.06 and 102,232.13

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Solution

The third proportional to 75,551.06 and 102,232.13 is: 138,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,551.06 : 102,232.13 = 102,232.13 : x
  2. Step 2: Convert to fraction form
    75,551.06/102,232.13 = 102,232.13/x
  3. Step 3: Cross multiply
    75,551.06x = 102,232.13 × 102,232.13
  4. Step 4: Simplify right side
    75,551.06x = 10,451,407,382.02
  5. Step 5: Solve for x
    x = 10,451,407,382.02/75,551.06
  6. Step 6: Final answer
    x = 138,335.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.