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Finding the Third Proportional to 73,434 and 110,979

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Solution

The third proportional to 73,434 and 110,979 is: 167,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,434 : 110,979 = 110,979 : x
  2. Step 2: Convert to fraction form
    73,434/110,979 = 110,979/x
  3. Step 3: Cross multiply
    73,434x = 110,979 × 110,979
  4. Step 4: Simplify right side
    73,434x = 12,316,338,441
  5. Step 5: Solve for x
    x = 12,316,338,441/73,434
  6. Step 6: Final answer
    x = 167,719.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.