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Finding the Third Proportional to 54,576 and 81,527

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Solution

The third proportional to 54,576 and 81,527 is: 121,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,576 : 81,527 = 81,527 : x
  2. Step 2: Convert to fraction form
    54,576/81,527 = 81,527/x
  3. Step 3: Cross multiply
    54,576x = 81,527 × 81,527
  4. Step 4: Simplify right side
    54,576x = 6,646,651,729
  5. Step 5: Solve for x
    x = 6,646,651,729/54,576
  6. Step 6: Final answer
    x = 121,787.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.