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Finding the Third Proportional to 84,462.75 and 185,537.25

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Solution

The third proportional to 84,462.75 and 185,537.25 is: 407,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,462.75 : 185,537.25 = 185,537.25 : x
  2. Step 2: Convert to fraction form
    84,462.75/185,537.25 = 185,537.25/x
  3. Step 3: Cross multiply
    84,462.75x = 185,537.25 × 185,537.25
  4. Step 4: Simplify right side
    84,462.75x = 34,424,071,137.56
  5. Step 5: Solve for x
    x = 34,424,071,137.56/84,462.75
  6. Step 6: Final answer
    x = 407,565.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.