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Finding the Third Proportional to 124,058 and 197,319

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Solution

The third proportional to 124,058 and 197,319 is: 313,843.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,058 : 197,319 = 197,319 : x
  2. Step 2: Convert to fraction form
    124,058/197,319 = 197,319/x
  3. Step 3: Cross multiply
    124,058x = 197,319 × 197,319
  4. Step 4: Simplify right side
    124,058x = 38,934,787,761
  5. Step 5: Solve for x
    x = 38,934,787,761/124,058
  6. Step 6: Final answer
    x = 313,843.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.