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Finding the Third Proportional to 75,294 and 110,863

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Solution

The third proportional to 75,294 and 110,863 is: 163,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,294 : 110,863 = 110,863 : x
  2. Step 2: Convert to fraction form
    75,294/110,863 = 110,863/x
  3. Step 3: Cross multiply
    75,294x = 110,863 × 110,863
  4. Step 4: Simplify right side
    75,294x = 12,290,604,769
  5. Step 5: Solve for x
    x = 12,290,604,769/75,294
  6. Step 6: Final answer
    x = 163,234.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.