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Finding the Third Proportional to 122,888 and 185,459

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Solution

The third proportional to 122,888 and 185,459 is: 279,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,888 : 185,459 = 185,459 : x
  2. Step 2: Convert to fraction form
    122,888/185,459 = 185,459/x
  3. Step 3: Cross multiply
    122,888x = 185,459 × 185,459
  4. Step 4: Simplify right side
    122,888x = 34,395,040,681
  5. Step 5: Solve for x
    x = 34,395,040,681/122,888
  6. Step 6: Final answer
    x = 279,889.34

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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.