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Finding the Third Proportional to 124,239 and 165,526

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Solution

The third proportional to 124,239 and 165,526 is: 220,533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,239 : 165,526 = 165,526 : x
  2. Step 2: Convert to fraction form
    124,239/165,526 = 165,526/x
  3. Step 3: Cross multiply
    124,239x = 165,526 × 165,526
  4. Step 4: Simplify right side
    124,239x = 27,398,856,676
  5. Step 5: Solve for x
    x = 27,398,856,676/124,239
  6. Step 6: Final answer
    x = 220,533.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.