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Finding the Third Proportional to 68,098 and 147,677

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Solution

The third proportional to 68,098 and 147,677 is: 320,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,098 : 147,677 = 147,677 : x
  2. Step 2: Convert to fraction form
    68,098/147,677 = 147,677/x
  3. Step 3: Cross multiply
    68,098x = 147,677 × 147,677
  4. Step 4: Simplify right side
    68,098x = 21,808,496,329
  5. Step 5: Solve for x
    x = 21,808,496,329/68,098
  6. Step 6: Final answer
    x = 320,251.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.