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Finding the Third Proportional to 85,660.35 and 125,568.83

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Solution

The third proportional to 85,660.35 and 125,568.83 is: 184,070.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,660.35 : 125,568.83 = 125,568.83 : x
  2. Step 2: Convert to fraction form
    85,660.35/125,568.83 = 125,568.83/x
  3. Step 3: Cross multiply
    85,660.35x = 125,568.83 × 125,568.83
  4. Step 4: Simplify right side
    85,660.35x = 15,767,530,106.18
  5. Step 5: Solve for x
    x = 15,767,530,106.18/85,660.35
  6. Step 6: Final answer
    x = 184,070.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.