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Finding the Third Proportional to 54,527 and 79,991

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Solution

The third proportional to 54,527 and 79,991 is: 117,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,527 : 79,991 = 79,991 : x
  2. Step 2: Convert to fraction form
    54,527/79,991 = 79,991/x
  3. Step 3: Cross multiply
    54,527x = 79,991 × 79,991
  4. Step 4: Simplify right side
    54,527x = 6,398,560,081
  5. Step 5: Solve for x
    x = 6,398,560,081/54,527
  6. Step 6: Final answer
    x = 117,346.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.