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Finding the Third Proportional to 86,944 and 137,814

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Solution

The third proportional to 86,944 and 137,814 is: 218,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,944 : 137,814 = 137,814 : x
  2. Step 2: Convert to fraction form
    86,944/137,814 = 137,814/x
  3. Step 3: Cross multiply
    86,944x = 137,814 × 137,814
  4. Step 4: Simplify right side
    86,944x = 18,992,698,596
  5. Step 5: Solve for x
    x = 18,992,698,596/86,944
  6. Step 6: Final answer
    x = 218,447.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.