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Finding the Third Proportional to 80,276 and 124,706

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Solution

The third proportional to 80,276 and 124,706 is: 193,726.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,276 : 124,706 = 124,706 : x
  2. Step 2: Convert to fraction form
    80,276/124,706 = 124,706/x
  3. Step 3: Cross multiply
    80,276x = 124,706 × 124,706
  4. Step 4: Simplify right side
    80,276x = 15,551,586,436
  5. Step 5: Solve for x
    x = 15,551,586,436/80,276
  6. Step 6: Final answer
    x = 193,726.47

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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.