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Finding the Third Proportional to 89,820 and 124,886

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Solution

The third proportional to 89,820 and 124,886 is: 173,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,820 : 124,886 = 124,886 : x
  2. Step 2: Convert to fraction form
    89,820/124,886 = 124,886/x
  3. Step 3: Cross multiply
    89,820x = 124,886 × 124,886
  4. Step 4: Simplify right side
    89,820x = 15,596,512,996
  5. Step 5: Solve for x
    x = 15,596,512,996/89,820
  6. Step 6: Final answer
    x = 173,641.87

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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.