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Finding the Third Proportional to 122,213 and 185,664

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Solution

The third proportional to 122,213 and 185,664 is: 282,057.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,213 : 185,664 = 185,664 : x
  2. Step 2: Convert to fraction form
    122,213/185,664 = 185,664/x
  3. Step 3: Cross multiply
    122,213x = 185,664 × 185,664
  4. Step 4: Simplify right side
    122,213x = 34,471,120,896
  5. Step 5: Solve for x
    x = 34,471,120,896/122,213
  6. Step 6: Final answer
    x = 282,057.73

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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.