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Finding the Third Proportional to 122,042 and 251,614

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Solution

The third proportional to 122,042 and 251,614 is: 518,752.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,042 : 251,614 = 251,614 : x
  2. Step 2: Convert to fraction form
    122,042/251,614 = 251,614/x
  3. Step 3: Cross multiply
    122,042x = 251,614 × 251,614
  4. Step 4: Simplify right side
    122,042x = 63,309,604,996
  5. Step 5: Solve for x
    x = 63,309,604,996/122,042
  6. Step 6: Final answer
    x = 518,752.60

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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.