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Finding the Third Proportional to 55,550 and 83,816

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Solution

The third proportional to 55,550 and 83,816 is: 126,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,550 : 83,816 = 83,816 : x
  2. Step 2: Convert to fraction form
    55,550/83,816 = 83,816/x
  3. Step 3: Cross multiply
    55,550x = 83,816 × 83,816
  4. Step 4: Simplify right side
    55,550x = 7,025,121,856
  5. Step 5: Solve for x
    x = 7,025,121,856/55,550
  6. Step 6: Final answer
    x = 126,464.84

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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.