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Finding the Third Proportional to 85,515.75 and 136,098.56

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Solution

The third proportional to 85,515.75 and 136,098.56 is: 216,601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,515.75 : 136,098.56 = 136,098.56 : x
  2. Step 2: Convert to fraction form
    85,515.75/136,098.56 = 136,098.56/x
  3. Step 3: Cross multiply
    85,515.75x = 136,098.56 × 136,098.56
  4. Step 4: Simplify right side
    85,515.75x = 18,522,818,714.57
  5. Step 5: Solve for x
    x = 18,522,818,714.57/85,515.75
  6. Step 6: Final answer
    x = 216,601.25

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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.