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Finding the Third Proportional to 121,560 and 183,960

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Solution

The third proportional to 121,560 and 183,960 is: 278,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,560 : 183,960 = 183,960 : x
  2. Step 2: Convert to fraction form
    121,560/183,960 = 183,960/x
  3. Step 3: Cross multiply
    121,560x = 183,960 × 183,960
  4. Step 4: Simplify right side
    121,560x = 33,841,281,600
  5. Step 5: Solve for x
    x = 33,841,281,600/121,560
  6. Step 6: Final answer
    x = 278,391.59

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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.