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Finding the Third Proportional to 67,238 and 98,329

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Solution

The third proportional to 67,238 and 98,329 is: 143,796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,238 : 98,329 = 98,329 : x
  2. Step 2: Convert to fraction form
    67,238/98,329 = 98,329/x
  3. Step 3: Cross multiply
    67,238x = 98,329 × 98,329
  4. Step 4: Simplify right side
    67,238x = 9,668,592,241
  5. Step 5: Solve for x
    x = 9,668,592,241/67,238
  6. Step 6: Final answer
    x = 143,796.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.