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Finding the Third Proportional to 121,014 and 159,787.69

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Solution

The third proportional to 121,014 and 159,787.69 is: 210,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,014 : 159,787.69 = 159,787.69 : x
  2. Step 2: Convert to fraction form
    121,014/159,787.69 = 159,787.69/x
  3. Step 3: Cross multiply
    121,014x = 159,787.69 × 159,787.69
  4. Step 4: Simplify right side
    121,014x = 25,532,105,076.60
  5. Step 5: Solve for x
    x = 25,532,105,076.60/121,014
  6. Step 6: Final answer
    x = 210,984.72

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.