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Finding the Third Proportional to 121,532 and 183,977

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Solution

The third proportional to 121,532 and 183,977 is: 278,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,532 : 183,977 = 183,977 : x
  2. Step 2: Convert to fraction form
    121,532/183,977 = 183,977/x
  3. Step 3: Cross multiply
    121,532x = 183,977 × 183,977
  4. Step 4: Simplify right side
    121,532x = 33,847,536,529
  5. Step 5: Solve for x
    x = 33,847,536,529/121,532
  6. Step 6: Final answer
    x = 278,507.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.