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Finding the Third Proportional to 124,203 and 265,902

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Solution

The third proportional to 124,203 and 265,902 is: 569,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,203 : 265,902 = 265,902 : x
  2. Step 2: Convert to fraction form
    124,203/265,902 = 265,902/x
  3. Step 3: Cross multiply
    124,203x = 265,902 × 265,902
  4. Step 4: Simplify right side
    124,203x = 70,703,873,604
  5. Step 5: Solve for x
    x = 70,703,873,604/124,203
  6. Step 6: Final answer
    x = 569,260.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.