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Finding the Third Proportional to 88,586 and 119,344

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Solution

The third proportional to 88,586 and 119,344 is: 160,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,586 : 119,344 = 119,344 : x
  2. Step 2: Convert to fraction form
    88,586/119,344 = 119,344/x
  3. Step 3: Cross multiply
    88,586x = 119,344 × 119,344
  4. Step 4: Simplify right side
    88,586x = 14,242,990,336
  5. Step 5: Solve for x
    x = 14,242,990,336/88,586
  6. Step 6: Final answer
    x = 160,781.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.