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Finding the Third Proportional to 80,226 and 124,726

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Solution

The third proportional to 80,226 and 124,726 is: 193,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,226 : 124,726 = 124,726 : x
  2. Step 2: Convert to fraction form
    80,226/124,726 = 124,726/x
  3. Step 3: Cross multiply
    80,226x = 124,726 × 124,726
  4. Step 4: Simplify right side
    80,226x = 15,556,575,076
  5. Step 5: Solve for x
    x = 15,556,575,076/80,226
  6. Step 6: Final answer
    x = 193,909.39

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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.