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Finding the Third Proportional to 80,118 and 124,547

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Solution

The third proportional to 80,118 and 124,547 is: 193,613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,118 : 124,547 = 124,547 : x
  2. Step 2: Convert to fraction form
    80,118/124,547 = 124,547/x
  3. Step 3: Cross multiply
    80,118x = 124,547 × 124,547
  4. Step 4: Simplify right side
    80,118x = 15,511,955,209
  5. Step 5: Solve for x
    x = 15,511,955,209/80,118
  6. Step 6: Final answer
    x = 193,613.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.