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Finding the Third Proportional to 52,876.50 and 108,332

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Solution

The third proportional to 52,876.50 and 108,332 is: 221,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,876.50 : 108,332 = 108,332 : x
  2. Step 2: Convert to fraction form
    52,876.50/108,332 = 108,332/x
  3. Step 3: Cross multiply
    52,876.50x = 108,332 × 108,332
  4. Step 4: Simplify right side
    52,876.50x = 11,735,822,224
  5. Step 5: Solve for x
    x = 11,735,822,224/52,876.50
  6. Step 6: Final answer
    x = 221,947.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.