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Finding the Third Proportional to 122,034 and 251,598

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Solution

The third proportional to 122,034 and 251,598 is: 518,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,034 : 251,598 = 251,598 : x
  2. Step 2: Convert to fraction form
    122,034/251,598 = 251,598/x
  3. Step 3: Cross multiply
    122,034x = 251,598 × 251,598
  4. Step 4: Simplify right side
    122,034x = 63,301,553,604
  5. Step 5: Solve for x
    x = 63,301,553,604/122,034
  6. Step 6: Final answer
    x = 518,720.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.