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Finding the Third Proportional to 69,680 and 125,536

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Solution

The third proportional to 69,680 and 125,536 is: 226,166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,680 : 125,536 = 125,536 : x
  2. Step 2: Convert to fraction form
    69,680/125,536 = 125,536/x
  3. Step 3: Cross multiply
    69,680x = 125,536 × 125,536
  4. Step 4: Simplify right side
    69,680x = 15,759,287,296
  5. Step 5: Solve for x
    x = 15,759,287,296/69,680
  6. Step 6: Final answer
    x = 226,166.58

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.