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Finding the Third Proportional to 78,958 and 172,677

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Solution

The third proportional to 78,958 and 172,677 is: 377,635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,958 : 172,677 = 172,677 : x
  2. Step 2: Convert to fraction form
    78,958/172,677 = 172,677/x
  3. Step 3: Cross multiply
    78,958x = 172,677 × 172,677
  4. Step 4: Simplify right side
    78,958x = 29,817,346,329
  5. Step 5: Solve for x
    x = 29,817,346,329/78,958
  6. Step 6: Final answer
    x = 377,635.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.