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Finding the Third Proportional to 88,918 and 169,635

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Solution

The third proportional to 88,918 and 169,635 is: 323,624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,918 : 169,635 = 169,635 : x
  2. Step 2: Convert to fraction form
    88,918/169,635 = 169,635/x
  3. Step 3: Cross multiply
    88,918x = 169,635 × 169,635
  4. Step 4: Simplify right side
    88,918x = 28,776,033,225
  5. Step 5: Solve for x
    x = 28,776,033,225/88,918
  6. Step 6: Final answer
    x = 323,624.39

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.