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Finding the Third Proportional to 54,980 and 82,710

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Solution

The third proportional to 54,980 and 82,710 is: 124,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,980 : 82,710 = 82,710 : x
  2. Step 2: Convert to fraction form
    54,980/82,710 = 82,710/x
  3. Step 3: Cross multiply
    54,980x = 82,710 × 82,710
  4. Step 4: Simplify right side
    54,980x = 6,840,944,100
  5. Step 5: Solve for x
    x = 6,840,944,100/54,980
  6. Step 6: Final answer
    x = 124,426.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.