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Finding the Third Proportional to 75,209 and 112,829

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Solution

The third proportional to 75,209 and 112,829 is: 169,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,209 : 112,829 = 112,829 : x
  2. Step 2: Convert to fraction form
    75,209/112,829 = 112,829/x
  3. Step 3: Cross multiply
    75,209x = 112,829 × 112,829
  4. Step 4: Simplify right side
    75,209x = 12,730,383,241
  5. Step 5: Solve for x
    x = 12,730,383,241/75,209
  6. Step 6: Final answer
    x = 169,266.75

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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.