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Finding the Third Proportional to 40,210 and 87,870

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Solution

The third proportional to 40,210 and 87,870 is: 192,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,210 : 87,870 = 87,870 : x
  2. Step 2: Convert to fraction form
    40,210/87,870 = 87,870/x
  3. Step 3: Cross multiply
    40,210x = 87,870 × 87,870
  4. Step 4: Simplify right side
    40,210x = 7,721,136,900
  5. Step 5: Solve for x
    x = 7,721,136,900/40,210
  6. Step 6: Final answer
    x = 192,020.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.