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Finding the Third Proportional to 40,283 and 87,493

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Solution

The third proportional to 40,283 and 87,493 is: 190,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,283 : 87,493 = 87,493 : x
  2. Step 2: Convert to fraction form
    40,283/87,493 = 87,493/x
  3. Step 3: Cross multiply
    40,283x = 87,493 × 87,493
  4. Step 4: Simplify right side
    40,283x = 7,655,025,049
  5. Step 5: Solve for x
    x = 7,655,025,049/40,283
  6. Step 6: Final answer
    x = 190,031.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.