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Finding the Third Proportional to 69,743 and 89,548

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Solution

The third proportional to 69,743 and 89,548 is: 114,977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,743 : 89,548 = 89,548 : x
  2. Step 2: Convert to fraction form
    69,743/89,548 = 89,548/x
  3. Step 3: Cross multiply
    69,743x = 89,548 × 89,548
  4. Step 4: Simplify right side
    69,743x = 8,018,844,304
  5. Step 5: Solve for x
    x = 8,018,844,304/69,743
  6. Step 6: Final answer
    x = 114,977.05

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.