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Finding the Third Proportional to 85,648.50 and 136,392.75

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Solution

The third proportional to 85,648.50 and 136,392.75 is: 217,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,648.50 : 136,392.75 = 136,392.75 : x
  2. Step 2: Convert to fraction form
    85,648.50/136,392.75 = 136,392.75/x
  3. Step 3: Cross multiply
    85,648.50x = 136,392.75 × 136,392.75
  4. Step 4: Simplify right side
    85,648.50x = 18,602,982,252.56
  5. Step 5: Solve for x
    x = 18,602,982,252.56/85,648.50
  6. Step 6: Final answer
    x = 217,201.50

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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.