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Finding the Third Proportional to 75,932 and 175,787

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Solution

The third proportional to 75,932 and 175,787 is: 406,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,932 : 175,787 = 175,787 : x
  2. Step 2: Convert to fraction form
    75,932/175,787 = 175,787/x
  3. Step 3: Cross multiply
    75,932x = 175,787 × 175,787
  4. Step 4: Simplify right side
    75,932x = 30,901,069,369
  5. Step 5: Solve for x
    x = 30,901,069,369/75,932
  6. Step 6: Final answer
    x = 406,957.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.