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Finding the Third Proportional to 75,124.13 and 116,994.38

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Solution

The third proportional to 75,124.13 and 116,994.38 is: 182,200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,124.13 : 116,994.38 = 116,994.38 : x
  2. Step 2: Convert to fraction form
    75,124.13/116,994.38 = 116,994.38/x
  3. Step 3: Cross multiply
    75,124.13x = 116,994.38 × 116,994.38
  4. Step 4: Simplify right side
    75,124.13x = 13,687,683,781.64
  5. Step 5: Solve for x
    x = 13,687,683,781.64/75,124.13
  6. Step 6: Final answer
    x = 182,200.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.