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Finding the Third Proportional to 122,498 and 183,748

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Solution

The third proportional to 122,498 and 183,748 is: 275,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,498 : 183,748 = 183,748 : x
  2. Step 2: Convert to fraction form
    122,498/183,748 = 183,748/x
  3. Step 3: Cross multiply
    122,498x = 183,748 × 183,748
  4. Step 4: Simplify right side
    122,498x = 33,763,327,504
  5. Step 5: Solve for x
    x = 33,763,327,504/122,498
  6. Step 6: Final answer
    x = 275,623.50

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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.