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Finding the Third Proportional to 89,822 and 124,889

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Solution

The third proportional to 89,822 and 124,889 is: 173,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,822 : 124,889 = 124,889 : x
  2. Step 2: Convert to fraction form
    89,822/124,889 = 124,889/x
  3. Step 3: Cross multiply
    89,822x = 124,889 × 124,889
  4. Step 4: Simplify right side
    89,822x = 15,597,262,321
  5. Step 5: Solve for x
    x = 15,597,262,321/89,822
  6. Step 6: Final answer
    x = 173,646.35

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