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Finding the Third Proportional to 51,384 and 112,587

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Solution

The third proportional to 51,384 and 112,587 is: 246,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,384 : 112,587 = 112,587 : x
  2. Step 2: Convert to fraction form
    51,384/112,587 = 112,587/x
  3. Step 3: Cross multiply
    51,384x = 112,587 × 112,587
  4. Step 4: Simplify right side
    51,384x = 12,675,832,569
  5. Step 5: Solve for x
    x = 12,675,832,569/51,384
  6. Step 6: Final answer
    x = 246,688.32

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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.