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Finding the Third Proportional to 122,349 and 164,659.50

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Solution

The third proportional to 122,349 and 164,659.50 is: 221,601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,349 : 164,659.50 = 164,659.50 : x
  2. Step 2: Convert to fraction form
    122,349/164,659.50 = 164,659.50/x
  3. Step 3: Cross multiply
    122,349x = 164,659.50 × 164,659.50
  4. Step 4: Simplify right side
    122,349x = 27,112,750,940.25
  5. Step 5: Solve for x
    x = 27,112,750,940.25/122,349
  6. Step 6: Final answer
    x = 221,601.74

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.