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Finding the Third Proportional to 124,094 and 166,458

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Solution

The third proportional to 124,094 and 166,458 is: 223,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,094 : 166,458 = 166,458 : x
  2. Step 2: Convert to fraction form
    124,094/166,458 = 166,458/x
  3. Step 3: Cross multiply
    124,094x = 166,458 × 166,458
  4. Step 4: Simplify right side
    124,094x = 27,708,265,764
  5. Step 5: Solve for x
    x = 27,708,265,764/124,094
  6. Step 6: Final answer
    x = 223,284.49

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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.