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Finding the Third Proportional to 82,891 and 125,027.50

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Solution

The third proportional to 82,891 and 125,027.50 is: 188,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,891 : 125,027.50 = 125,027.50 : x
  2. Step 2: Convert to fraction form
    82,891/125,027.50 = 125,027.50/x
  3. Step 3: Cross multiply
    82,891x = 125,027.50 × 125,027.50
  4. Step 4: Simplify right side
    82,891x = 15,631,875,756.25
  5. Step 5: Solve for x
    x = 15,631,875,756.25/82,891
  6. Step 6: Final answer
    x = 188,583.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.