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Finding the Third Proportional to 69,691 and 93,642

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Solution

The third proportional to 69,691 and 93,642 is: 125,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,691 : 93,642 = 93,642 : x
  2. Step 2: Convert to fraction form
    69,691/93,642 = 93,642/x
  3. Step 3: Cross multiply
    69,691x = 93,642 × 93,642
  4. Step 4: Simplify right side
    69,691x = 8,768,824,164
  5. Step 5: Solve for x
    x = 8,768,824,164/69,691
  6. Step 6: Final answer
    x = 125,824.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.