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Finding the Third Proportional to 82,881.56 and 125,011.69

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Solution

The third proportional to 82,881.56 and 125,011.69 is: 188,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,881.56 : 125,011.69 = 125,011.69 : x
  2. Step 2: Convert to fraction form
    82,881.56/125,011.69 = 125,011.69/x
  3. Step 3: Cross multiply
    82,881.56x = 125,011.69 × 125,011.69
  4. Step 4: Simplify right side
    82,881.56x = 15,627,922,011.60
  5. Step 5: Solve for x
    x = 15,627,922,011.60/82,881.56
  6. Step 6: Final answer
    x = 188,557.28

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