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Finding the Third Proportional to 32,290 and 72,140

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Solution

The third proportional to 32,290 and 72,140 is: 161,170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,290 : 72,140 = 72,140 : x
  2. Step 2: Convert to fraction form
    32,290/72,140 = 72,140/x
  3. Step 3: Cross multiply
    32,290x = 72,140 × 72,140
  4. Step 4: Simplify right side
    32,290x = 5,204,179,600
  5. Step 5: Solve for x
    x = 5,204,179,600/32,290
  6. Step 6: Final answer
    x = 161,170.01

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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.