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Finding the Third Proportional to 54,315 and 83,087

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Solution

The third proportional to 54,315 and 83,087 is: 127,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,315 : 83,087 = 83,087 : x
  2. Step 2: Convert to fraction form
    54,315/83,087 = 83,087/x
  3. Step 3: Cross multiply
    54,315x = 83,087 × 83,087
  4. Step 4: Simplify right side
    54,315x = 6,903,449,569
  5. Step 5: Solve for x
    x = 6,903,449,569/54,315
  6. Step 6: Final answer
    x = 127,100.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.