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Finding the Third Proportional to 90,031.50 and 167,214.38

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Solution

The third proportional to 90,031.50 and 167,214.38 is: 310,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,031.50 : 167,214.38 = 167,214.38 : x
  2. Step 2: Convert to fraction form
    90,031.50/167,214.38 = 167,214.38/x
  3. Step 3: Cross multiply
    90,031.50x = 167,214.38 × 167,214.38
  4. Step 4: Simplify right side
    90,031.50x = 27,960,647,206.64
  5. Step 5: Solve for x
    x = 27,960,647,206.64/90,031.50
  6. Step 6: Final answer
    x = 310,565.16

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.