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Finding the Third Proportional to 67,848 and 147,150

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Solution

The third proportional to 67,848 and 147,150 is: 319,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,848 : 147,150 = 147,150 : x
  2. Step 2: Convert to fraction form
    67,848/147,150 = 147,150/x
  3. Step 3: Cross multiply
    67,848x = 147,150 × 147,150
  4. Step 4: Simplify right side
    67,848x = 21,653,122,500
  5. Step 5: Solve for x
    x = 21,653,122,500/67,848
  6. Step 6: Final answer
    x = 319,141.65

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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.