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Finding the Third Proportional to 63,596 and 147,866

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Solution

The third proportional to 63,596 and 147,866 is: 343,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,596 : 147,866 = 147,866 : x
  2. Step 2: Convert to fraction form
    63,596/147,866 = 147,866/x
  3. Step 3: Cross multiply
    63,596x = 147,866 × 147,866
  4. Step 4: Simplify right side
    63,596x = 21,864,353,956
  5. Step 5: Solve for x
    x = 21,864,353,956/63,596
  6. Step 6: Final answer
    x = 343,800.77

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.