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Finding the Third Proportional to 85,358.50 and 125,844

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Solution

The third proportional to 85,358.50 and 125,844 is: 185,531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,358.50 : 125,844 = 125,844 : x
  2. Step 2: Convert to fraction form
    85,358.50/125,844 = 125,844/x
  3. Step 3: Cross multiply
    85,358.50x = 125,844 × 125,844
  4. Step 4: Simplify right side
    85,358.50x = 15,836,712,336
  5. Step 5: Solve for x
    x = 15,836,712,336/85,358.50
  6. Step 6: Final answer
    x = 185,531.76

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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.