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Finding the Third Proportional to 75,465.75 and 157,132.88

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Solution

The third proportional to 75,465.75 and 157,132.88 is: 327,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,465.75 : 157,132.88 = 157,132.88 : x
  2. Step 2: Convert to fraction form
    75,465.75/157,132.88 = 157,132.88/x
  3. Step 3: Cross multiply
    75,465.75x = 157,132.88 × 157,132.88
  4. Step 4: Simplify right side
    75,465.75x = 24,690,740,405.77
  5. Step 5: Solve for x
    x = 24,690,740,405.77/75,465.75
  6. Step 6: Final answer
    x = 327,178.10

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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.