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Finding the Third Proportional to 75,694 and 113,541

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Solution

The third proportional to 75,694 and 113,541 is: 170,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,694 : 113,541 = 113,541 : x
  2. Step 2: Convert to fraction form
    75,694/113,541 = 113,541/x
  3. Step 3: Cross multiply
    75,694x = 113,541 × 113,541
  4. Step 4: Simplify right side
    75,694x = 12,891,558,681
  5. Step 5: Solve for x
    x = 12,891,558,681/75,694
  6. Step 6: Final answer
    x = 170,311.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.