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Finding the Third Proportional to 65,535 and 138,906

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Solution

The third proportional to 65,535 and 138,906 is: 294,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,535 : 138,906 = 138,906 : x
  2. Step 2: Convert to fraction form
    65,535/138,906 = 138,906/x
  3. Step 3: Cross multiply
    65,535x = 138,906 × 138,906
  4. Step 4: Simplify right side
    65,535x = 19,294,876,836
  5. Step 5: Solve for x
    x = 19,294,876,836/65,535
  6. Step 6: Final answer
    x = 294,420.95

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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.