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Finding the Third Proportional to 80,146 and 124,756

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Solution

The third proportional to 80,146 and 124,756 is: 194,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,146 : 124,756 = 124,756 : x
  2. Step 2: Convert to fraction form
    80,146/124,756 = 124,756/x
  3. Step 3: Cross multiply
    80,146x = 124,756 × 124,756
  4. Step 4: Simplify right side
    80,146x = 15,564,059,536
  5. Step 5: Solve for x
    x = 15,564,059,536/80,146
  6. Step 6: Final answer
    x = 194,196.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.