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Finding the Third Proportional to 40,306 and 83,881

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Solution

The third proportional to 40,306 and 83,881 is: 174,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,306 : 83,881 = 83,881 : x
  2. Step 2: Convert to fraction form
    40,306/83,881 = 83,881/x
  3. Step 3: Cross multiply
    40,306x = 83,881 × 83,881
  4. Step 4: Simplify right side
    40,306x = 7,036,022,161
  5. Step 5: Solve for x
    x = 7,036,022,161/40,306
  6. Step 6: Final answer
    x = 174,565.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.