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Finding the Third Proportional to 85,200 and 119,466

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Solution

The third proportional to 85,200 and 119,466 is: 167,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,200 : 119,466 = 119,466 : x
  2. Step 2: Convert to fraction form
    85,200/119,466 = 119,466/x
  3. Step 3: Cross multiply
    85,200x = 119,466 × 119,466
  4. Step 4: Simplify right side
    85,200x = 14,272,125,156
  5. Step 5: Solve for x
    x = 14,272,125,156/85,200
  6. Step 6: Final answer
    x = 167,513.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.