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Finding the Third Proportional to 122,985 and 185,607

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Solution

The third proportional to 122,985 and 185,607 is: 280,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,985 : 185,607 = 185,607 : x
  2. Step 2: Convert to fraction form
    122,985/185,607 = 185,607/x
  3. Step 3: Cross multiply
    122,985x = 185,607 × 185,607
  4. Step 4: Simplify right side
    122,985x = 34,449,958,449
  5. Step 5: Solve for x
    x = 34,449,958,449/122,985
  6. Step 6: Final answer
    x = 280,115.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.