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Finding the Third Proportional to 121,503 and 183,927.75

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Solution

The third proportional to 121,503 and 183,927.75 is: 278,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,503 : 183,927.75 = 183,927.75 : x
  2. Step 2: Convert to fraction form
    121,503/183,927.75 = 183,927.75/x
  3. Step 3: Cross multiply
    121,503x = 183,927.75 × 183,927.75
  4. Step 4: Simplify right side
    121,503x = 33,829,417,220.06
  5. Step 5: Solve for x
    x = 33,829,417,220.06/121,503
  6. Step 6: Final answer
    x = 278,424.54

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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.