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Finding the Third Proportional to 54,330 and 82,602

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Solution

The third proportional to 54,330 and 82,602 is: 125,586.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,330 : 82,602 = 82,602 : x
  2. Step 2: Convert to fraction form
    54,330/82,602 = 82,602/x
  3. Step 3: Cross multiply
    54,330x = 82,602 × 82,602
  4. Step 4: Simplify right side
    54,330x = 6,823,090,404
  5. Step 5: Solve for x
    x = 6,823,090,404/54,330
  6. Step 6: Final answer
    x = 125,586.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.