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Finding the Third Proportional to 84,101 and 170,578

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Solution

The third proportional to 84,101 and 170,578 is: 345,975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,101 : 170,578 = 170,578 : x
  2. Step 2: Convert to fraction form
    84,101/170,578 = 170,578/x
  3. Step 3: Cross multiply
    84,101x = 170,578 × 170,578
  4. Step 4: Simplify right side
    84,101x = 29,096,854,084
  5. Step 5: Solve for x
    x = 29,096,854,084/84,101
  6. Step 6: Final answer
    x = 345,975.13

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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.