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Finding the Third Proportional to 51,536 and 112,904

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Solution

The third proportional to 51,536 and 112,904 is: 247,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,536 : 112,904 = 112,904 : x
  2. Step 2: Convert to fraction form
    51,536/112,904 = 112,904/x
  3. Step 3: Cross multiply
    51,536x = 112,904 × 112,904
  4. Step 4: Simplify right side
    51,536x = 12,747,313,216
  5. Step 5: Solve for x
    x = 12,747,313,216/51,536
  6. Step 6: Final answer
    x = 247,347.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.