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Finding the Third Proportional to 67,234 and 98,323

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Solution

The third proportional to 67,234 and 98,323 is: 143,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,234 : 98,323 = 98,323 : x
  2. Step 2: Convert to fraction form
    67,234/98,323 = 98,323/x
  3. Step 3: Cross multiply
    67,234x = 98,323 × 98,323
  4. Step 4: Simplify right side
    67,234x = 9,667,412,329
  5. Step 5: Solve for x
    x = 9,667,412,329/67,234
  6. Step 6: Final answer
    x = 143,787.55

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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.