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Finding the Third Proportional to 58,460 and 126,756

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Solution

The third proportional to 58,460 and 126,756 is: 274,838.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,460 : 126,756 = 126,756 : x
  2. Step 2: Convert to fraction form
    58,460/126,756 = 126,756/x
  3. Step 3: Cross multiply
    58,460x = 126,756 × 126,756
  4. Step 4: Simplify right side
    58,460x = 16,067,083,536
  5. Step 5: Solve for x
    x = 16,067,083,536/58,460
  6. Step 6: Final answer
    x = 274,838.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.