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Finding the Third Proportional to 85,666.50 and 131,766.75

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Solution

The third proportional to 85,666.50 and 131,766.75 is: 202,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,666.50 : 131,766.75 = 131,766.75 : x
  2. Step 2: Convert to fraction form
    85,666.50/131,766.75 = 131,766.75/x
  3. Step 3: Cross multiply
    85,666.50x = 131,766.75 × 131,766.75
  4. Step 4: Simplify right side
    85,666.50x = 17,362,476,405.56
  5. Step 5: Solve for x
    x = 17,362,476,405.56/85,666.50
  6. Step 6: Final answer
    x = 202,675.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.