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Finding the Third Proportional to 75,419.25 and 157,039.13

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Solution

The third proportional to 75,419.25 and 157,039.13 is: 326,989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,419.25 : 157,039.13 = 157,039.13 : x
  2. Step 2: Convert to fraction form
    75,419.25/157,039.13 = 157,039.13/x
  3. Step 3: Cross multiply
    75,419.25x = 157,039.13 × 157,039.13
  4. Step 4: Simplify right side
    75,419.25x = 24,661,286,780.77
  5. Step 5: Solve for x
    x = 24,661,286,780.77/75,419.25
  6. Step 6: Final answer
    x = 326,989.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.