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Finding the Third Proportional to 85,442 and 183,532

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Solution

The third proportional to 85,442 and 183,532 is: 394,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,442 : 183,532 = 183,532 : x
  2. Step 2: Convert to fraction form
    85,442/183,532 = 183,532/x
  3. Step 3: Cross multiply
    85,442x = 183,532 × 183,532
  4. Step 4: Simplify right side
    85,442x = 33,683,995,024
  5. Step 5: Solve for x
    x = 33,683,995,024/85,442
  6. Step 6: Final answer
    x = 394,232.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.