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Finding the Third Proportional to 51,572 and 112,540

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Solution

The third proportional to 51,572 and 112,540 is: 245,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,572 : 112,540 = 112,540 : x
  2. Step 2: Convert to fraction form
    51,572/112,540 = 112,540/x
  3. Step 3: Cross multiply
    51,572x = 112,540 × 112,540
  4. Step 4: Simplify right side
    51,572x = 12,665,251,600
  5. Step 5: Solve for x
    x = 12,665,251,600/51,572
  6. Step 6: Final answer
    x = 245,583.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.