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Finding the Third Proportional to 122,715 and 164,905.88

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Solution

The third proportional to 122,715 and 164,905.88 is: 221,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,715 : 164,905.88 = 164,905.88 : x
  2. Step 2: Convert to fraction form
    122,715/164,905.88 = 164,905.88/x
  3. Step 3: Cross multiply
    122,715x = 164,905.88 × 164,905.88
  4. Step 4: Simplify right side
    122,715x = 27,193,947,609.52
  5. Step 5: Solve for x
    x = 27,193,947,609.52/122,715
  6. Step 6: Final answer
    x = 221,602.47

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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.