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Finding the Third Proportional to 67,858 and 99,750

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Solution

The third proportional to 67,858 and 99,750 is: 146,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,858 : 99,750 = 99,750 : x
  2. Step 2: Convert to fraction form
    67,858/99,750 = 99,750/x
  3. Step 3: Cross multiply
    67,858x = 99,750 × 99,750
  4. Step 4: Simplify right side
    67,858x = 9,950,062,500
  5. Step 5: Solve for x
    x = 9,950,062,500/67,858
  6. Step 6: Final answer
    x = 146,630.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.