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Finding the Third Proportional to 73,678 and 160,850

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Solution

The third proportional to 73,678 and 160,850 is: 351,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,678 : 160,850 = 160,850 : x
  2. Step 2: Convert to fraction form
    73,678/160,850 = 160,850/x
  3. Step 3: Cross multiply
    73,678x = 160,850 × 160,850
  4. Step 4: Simplify right side
    73,678x = 25,872,722,500
  5. Step 5: Solve for x
    x = 25,872,722,500/73,678
  6. Step 6: Final answer
    x = 351,159.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.