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Finding the Third Proportional to 89,822.25 and 124,889.63

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Solution

The third proportional to 89,822.25 and 124,889.63 is: 173,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,822.25 : 124,889.63 = 124,889.63 : x
  2. Step 2: Convert to fraction form
    89,822.25/124,889.63 = 124,889.63/x
  3. Step 3: Cross multiply
    89,822.25x = 124,889.63 × 124,889.63
  4. Step 4: Simplify right side
    89,822.25x = 15,597,418,432.64
  5. Step 5: Solve for x
    x = 15,597,418,432.64/89,822.25
  6. Step 6: Final answer
    x = 173,647.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.