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Finding the Third Proportional to 68,931 and 110,592

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Solution

The third proportional to 68,931 and 110,592 is: 177,432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,931 : 110,592 = 110,592 : x
  2. Step 2: Convert to fraction form
    68,931/110,592 = 110,592/x
  3. Step 3: Cross multiply
    68,931x = 110,592 × 110,592
  4. Step 4: Simplify right side
    68,931x = 12,230,590,464
  5. Step 5: Solve for x
    x = 12,230,590,464/68,931
  6. Step 6: Final answer
    x = 177,432.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.