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Finding the Third Proportional to 124,906 and 201,561

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Solution

The third proportional to 124,906 and 201,561 is: 325,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,906 : 201,561 = 201,561 : x
  2. Step 2: Convert to fraction form
    124,906/201,561 = 201,561/x
  3. Step 3: Cross multiply
    124,906x = 201,561 × 201,561
  4. Step 4: Simplify right side
    124,906x = 40,626,836,721
  5. Step 5: Solve for x
    x = 40,626,836,721/124,906
  6. Step 6: Final answer
    x = 325,259.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.