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Finding the Third Proportional to 86,253.75 and 118,773.38

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Solution

The third proportional to 86,253.75 and 118,773.38 is: 163,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,253.75 : 118,773.38 = 118,773.38 : x
  2. Step 2: Convert to fraction form
    86,253.75/118,773.38 = 118,773.38/x
  3. Step 3: Cross multiply
    86,253.75x = 118,773.38 × 118,773.38
  4. Step 4: Simplify right side
    86,253.75x = 14,107,114,608.89
  5. Step 5: Solve for x
    x = 14,107,114,608.89/86,253.75
  6. Step 6: Final answer
    x = 163,553.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.