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Finding the Third Proportional to 122,667 and 164,851.50

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Solution

The third proportional to 122,667 and 164,851.50 is: 221,543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,667 : 164,851.50 = 164,851.50 : x
  2. Step 2: Convert to fraction form
    122,667/164,851.50 = 164,851.50/x
  3. Step 3: Cross multiply
    122,667x = 164,851.50 × 164,851.50
  4. Step 4: Simplify right side
    122,667x = 27,176,017,052.25
  5. Step 5: Solve for x
    x = 27,176,017,052.25/122,667
  6. Step 6: Final answer
    x = 221,543.02

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.