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Finding the Third Proportional to 85,219 and 132,317

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Solution

The third proportional to 85,219 and 132,317 is: 205,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,219 : 132,317 = 132,317 : x
  2. Step 2: Convert to fraction form
    85,219/132,317 = 132,317/x
  3. Step 3: Cross multiply
    85,219x = 132,317 × 132,317
  4. Step 4: Simplify right side
    85,219x = 17,507,788,489
  5. Step 5: Solve for x
    x = 17,507,788,489/85,219
  6. Step 6: Final answer
    x = 205,444.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.