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Finding the Third Proportional to 51,583 and 112,886

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Solution

The third proportional to 51,583 and 112,886 is: 247,043.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,583 : 112,886 = 112,886 : x
  2. Step 2: Convert to fraction form
    51,583/112,886 = 112,886/x
  3. Step 3: Cross multiply
    51,583x = 112,886 × 112,886
  4. Step 4: Simplify right side
    51,583x = 12,743,248,996
  5. Step 5: Solve for x
    x = 12,743,248,996/51,583
  6. Step 6: Final answer
    x = 247,043.58

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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.