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Finding the Third Proportional to 75,084 and 133,473

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Solution

The third proportional to 75,084 and 133,473 is: 237,268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,084 : 133,473 = 133,473 : x
  2. Step 2: Convert to fraction form
    75,084/133,473 = 133,473/x
  3. Step 3: Cross multiply
    75,084x = 133,473 × 133,473
  4. Step 4: Simplify right side
    75,084x = 17,815,041,729
  5. Step 5: Solve for x
    x = 17,815,041,729/75,084
  6. Step 6: Final answer
    x = 237,268.15

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.