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Finding the Third Proportional to 89,314 and 124,875

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Solution

The third proportional to 89,314 and 124,875 is: 174,594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,314 : 124,875 = 124,875 : x
  2. Step 2: Convert to fraction form
    89,314/124,875 = 124,875/x
  3. Step 3: Cross multiply
    89,314x = 124,875 × 124,875
  4. Step 4: Simplify right side
    89,314x = 15,593,765,625
  5. Step 5: Solve for x
    x = 15,593,765,625/89,314
  6. Step 6: Final answer
    x = 174,594.86

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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.