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Finding the Third Proportional to 67,282 and 143,200

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Solution

The third proportional to 67,282 and 143,200 is: 304,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,282 : 143,200 = 143,200 : x
  2. Step 2: Convert to fraction form
    67,282/143,200 = 143,200/x
  3. Step 3: Cross multiply
    67,282x = 143,200 × 143,200
  4. Step 4: Simplify right side
    67,282x = 20,506,240,000
  5. Step 5: Solve for x
    x = 20,506,240,000/67,282
  6. Step 6: Final answer
    x = 304,780.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.