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Finding the Third Proportional to 85,615.75 and 136,351.50

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Solution

The third proportional to 85,615.75 and 136,351.50 is: 217,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,615.75 : 136,351.50 = 136,351.50 : x
  2. Step 2: Convert to fraction form
    85,615.75/136,351.50 = 136,351.50/x
  3. Step 3: Cross multiply
    85,615.75x = 136,351.50 × 136,351.50
  4. Step 4: Simplify right side
    85,615.75x = 18,591,731,552.25
  5. Step 5: Solve for x
    x = 18,591,731,552.25/85,615.75
  6. Step 6: Final answer
    x = 217,153.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.