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Finding the Third Proportional to 121,532 and 183,978

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Solution

The third proportional to 121,532 and 183,978 is: 278,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,532 : 183,978 = 183,978 : x
  2. Step 2: Convert to fraction form
    121,532/183,978 = 183,978/x
  3. Step 3: Cross multiply
    121,532x = 183,978 × 183,978
  4. Step 4: Simplify right side
    121,532x = 33,847,904,484
  5. Step 5: Solve for x
    x = 33,847,904,484/121,532
  6. Step 6: Final answer
    x = 278,510.22

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Why These Related Problems?

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