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Finding the Third Proportional to 37,118 and 87,534

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Solution

The third proportional to 37,118 and 87,534 is: 206,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,118 : 87,534 = 87,534 : x
  2. Step 2: Convert to fraction form
    37,118/87,534 = 87,534/x
  3. Step 3: Cross multiply
    37,118x = 87,534 × 87,534
  4. Step 4: Simplify right side
    37,118x = 7,662,201,156
  5. Step 5: Solve for x
    x = 7,662,201,156/37,118
  6. Step 6: Final answer
    x = 206,428.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.