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Finding the Third Proportional to 88,624 and 119,400

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Solution

The third proportional to 88,624 and 119,400 is: 160,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,624 : 119,400 = 119,400 : x
  2. Step 2: Convert to fraction form
    88,624/119,400 = 119,400/x
  3. Step 3: Cross multiply
    88,624x = 119,400 × 119,400
  4. Step 4: Simplify right side
    88,624x = 14,256,360,000
  5. Step 5: Solve for x
    x = 14,256,360,000/88,624
  6. Step 6: Final answer
    x = 160,863.42

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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.