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Finding the Third Proportional to 65,514 and 138,816

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Solution

The third proportional to 65,514 and 138,816 is: 294,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,514 : 138,816 = 138,816 : x
  2. Step 2: Convert to fraction form
    65,514/138,816 = 138,816/x
  3. Step 3: Cross multiply
    65,514x = 138,816 × 138,816
  4. Step 4: Simplify right side
    65,514x = 19,269,881,856
  5. Step 5: Solve for x
    x = 19,269,881,856/65,514
  6. Step 6: Final answer
    x = 294,133.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.