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Finding the Third Proportional to 68,943 and 110,613

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Solution

The third proportional to 68,943 and 110,613 is: 177,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,943 : 110,613 = 110,613 : x
  2. Step 2: Convert to fraction form
    68,943/110,613 = 110,613/x
  3. Step 3: Cross multiply
    68,943x = 110,613 × 110,613
  4. Step 4: Simplify right side
    68,943x = 12,235,235,769
  5. Step 5: Solve for x
    x = 12,235,235,769/68,943
  6. Step 6: Final answer
    x = 177,468.86

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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.