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Finding the Third Proportional to 122,607 and 166,414.50

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Solution

The third proportional to 122,607 and 166,414.50 is: 225,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,607 : 166,414.50 = 166,414.50 : x
  2. Step 2: Convert to fraction form
    122,607/166,414.50 = 166,414.50/x
  3. Step 3: Cross multiply
    122,607x = 166,414.50 × 166,414.50
  4. Step 4: Simplify right side
    122,607x = 27,693,785,810.25
  5. Step 5: Solve for x
    x = 27,693,785,810.25/122,607
  6. Step 6: Final answer
    x = 225,874.43

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.