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Finding the Third Proportional to 122,488 and 183,732

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Solution

The third proportional to 122,488 and 183,732 is: 275,598

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,488 : 183,732 = 183,732 : x
  2. Step 2: Convert to fraction form
    122,488/183,732 = 183,732/x
  3. Step 3: Cross multiply
    122,488x = 183,732 × 183,732
  4. Step 4: Simplify right side
    122,488x = 33,757,447,824
  5. Step 5: Solve for x
    x = 33,757,447,824/122,488
  6. Step 6: Final answer
    x = 275,598

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.