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Finding the Third Proportional to 75,132 and 175,596

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Solution

The third proportional to 75,132 and 175,596 is: 410,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,132 : 175,596 = 175,596 : x
  2. Step 2: Convert to fraction form
    75,132/175,596 = 175,596/x
  3. Step 3: Cross multiply
    75,132x = 175,596 × 175,596
  4. Step 4: Simplify right side
    75,132x = 30,833,955,216
  5. Step 5: Solve for x
    x = 30,833,955,216/75,132
  6. Step 6: Final answer
    x = 410,397.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.