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Finding the Third Proportional to 108,749 and 191,524

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Solution

The third proportional to 108,749 and 191,524 is: 337,303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,749 : 191,524 = 191,524 : x
  2. Step 2: Convert to fraction form
    108,749/191,524 = 191,524/x
  3. Step 3: Cross multiply
    108,749x = 191,524 × 191,524
  4. Step 4: Simplify right side
    108,749x = 36,681,442,576
  5. Step 5: Solve for x
    x = 36,681,442,576/108,749
  6. Step 6: Final answer
    x = 337,303.72

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.