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Finding the Third Proportional to 89,664.75 and 125,371.78

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Solution

The third proportional to 89,664.75 and 125,371.78 is: 175,298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,664.75 : 125,371.78 = 125,371.78 : x
  2. Step 2: Convert to fraction form
    89,664.75/125,371.78 = 125,371.78/x
  3. Step 3: Cross multiply
    89,664.75x = 125,371.78 × 125,371.78
  4. Step 4: Simplify right side
    89,664.75x = 15,718,083,533.80
  5. Step 5: Solve for x
    x = 15,718,083,533.80/89,664.75
  6. Step 6: Final answer
    x = 175,298.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.