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Finding the Third Proportional to 42,156 and 85,524

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Solution

The third proportional to 42,156 and 85,524 is: 173,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,156 : 85,524 = 85,524 : x
  2. Step 2: Convert to fraction form
    42,156/85,524 = 85,524/x
  3. Step 3: Cross multiply
    42,156x = 85,524 × 85,524
  4. Step 4: Simplify right side
    42,156x = 7,314,354,576
  5. Step 5: Solve for x
    x = 7,314,354,576/42,156
  6. Step 6: Final answer
    x = 173,506.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.