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Finding the Third Proportional to 84,744 and 124,524

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Solution

The third proportional to 84,744 and 124,524 is: 182,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,744 : 124,524 = 124,524 : x
  2. Step 2: Convert to fraction form
    84,744/124,524 = 124,524/x
  3. Step 3: Cross multiply
    84,744x = 124,524 × 124,524
  4. Step 4: Simplify right side
    84,744x = 15,506,226,576
  5. Step 5: Solve for x
    x = 15,506,226,576/84,744
  6. Step 6: Final answer
    x = 182,977.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.