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Finding the Third Proportional to 54,614 and 83,508

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Solution

The third proportional to 54,614 and 83,508 is: 127,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,614 : 83,508 = 83,508 : x
  2. Step 2: Convert to fraction form
    54,614/83,508 = 83,508/x
  3. Step 3: Cross multiply
    54,614x = 83,508 × 83,508
  4. Step 4: Simplify right side
    54,614x = 6,973,586,064
  5. Step 5: Solve for x
    x = 6,973,586,064/54,614
  6. Step 6: Final answer
    x = 127,688.62

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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.