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Finding the Third Proportional to 66,156.75 and 86,523.19

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Solution

The third proportional to 66,156.75 and 86,523.19 is: 113,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,156.75 : 86,523.19 = 86,523.19 : x
  2. Step 2: Convert to fraction form
    66,156.75/86,523.19 = 86,523.19/x
  3. Step 3: Cross multiply
    66,156.75x = 86,523.19 × 86,523.19
  4. Step 4: Simplify right side
    66,156.75x = 7,486,261,975.16
  5. Step 5: Solve for x
    x = 7,486,261,975.16/66,156.75
  6. Step 6: Final answer
    x = 113,159.46

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.