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Finding the Third Proportional to 80,464 and 124,468

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Solution

The third proportional to 80,464 and 124,468 is: 192,536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,464 : 124,468 = 124,468 : x
  2. Step 2: Convert to fraction form
    80,464/124,468 = 124,468/x
  3. Step 3: Cross multiply
    80,464x = 124,468 × 124,468
  4. Step 4: Simplify right side
    80,464x = 15,492,283,024
  5. Step 5: Solve for x
    x = 15,492,283,024/80,464
  6. Step 6: Final answer
    x = 192,536.82

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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.