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Finding the Third Proportional to 122,495 and 183,742

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Solution

The third proportional to 122,495 and 183,742 is: 275,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,495 : 183,742 = 183,742 : x
  2. Step 2: Convert to fraction form
    122,495/183,742 = 183,742/x
  3. Step 3: Cross multiply
    122,495x = 183,742 × 183,742
  4. Step 4: Simplify right side
    122,495x = 33,761,122,564
  5. Step 5: Solve for x
    x = 33,761,122,564/122,495
  6. Step 6: Final answer
    x = 275,612.25

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