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Finding the Third Proportional to 72,210 and 108,630

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Solution

The third proportional to 72,210 and 108,630 is: 163,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,210 : 108,630 = 108,630 : x
  2. Step 2: Convert to fraction form
    72,210/108,630 = 108,630/x
  3. Step 3: Cross multiply
    72,210x = 108,630 × 108,630
  4. Step 4: Simplify right side
    72,210x = 11,800,476,900
  5. Step 5: Solve for x
    x = 11,800,476,900/72,210
  6. Step 6: Final answer
    x = 163,418.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.