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Finding the Third Proportional to 122,511 and 185,614

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Solution

The third proportional to 122,511 and 185,614 is: 281,220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,511 : 185,614 = 185,614 : x
  2. Step 2: Convert to fraction form
    122,511/185,614 = 185,614/x
  3. Step 3: Cross multiply
    122,511x = 185,614 × 185,614
  4. Step 4: Simplify right side
    122,511x = 34,452,556,996
  5. Step 5: Solve for x
    x = 34,452,556,996/122,511
  6. Step 6: Final answer
    x = 281,220.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.