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Finding the Third Proportional to 73,364 and 110,816

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Solution

The third proportional to 73,364 and 110,816 is: 167,387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,364 : 110,816 = 110,816 : x
  2. Step 2: Convert to fraction form
    73,364/110,816 = 110,816/x
  3. Step 3: Cross multiply
    73,364x = 110,816 × 110,816
  4. Step 4: Simplify right side
    73,364x = 12,280,185,856
  5. Step 5: Solve for x
    x = 12,280,185,856/73,364
  6. Step 6: Final answer
    x = 167,387.08

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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.