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Finding the Third Proportional to 119,589.75 and 162,486

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Solution

The third proportional to 119,589.75 and 162,486 is: 220,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,589.75 : 162,486 = 162,486 : x
  2. Step 2: Convert to fraction form
    119,589.75/162,486 = 162,486/x
  3. Step 3: Cross multiply
    119,589.75x = 162,486 × 162,486
  4. Step 4: Simplify right side
    119,589.75x = 26,401,700,196
  5. Step 5: Solve for x
    x = 26,401,700,196/119,589.75
  6. Step 6: Final answer
    x = 220,768.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.