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Finding the Third Proportional to 32,300 and 72,156

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Solution

The third proportional to 32,300 and 72,156 is: 161,191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,300 : 72,156 = 72,156 : x
  2. Step 2: Convert to fraction form
    32,300/72,156 = 72,156/x
  3. Step 3: Cross multiply
    32,300x = 72,156 × 72,156
  4. Step 4: Simplify right side
    32,300x = 5,206,488,336
  5. Step 5: Solve for x
    x = 5,206,488,336/32,300
  6. Step 6: Final answer
    x = 161,191.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.