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Finding the Third Proportional to 63,910 and 96,759

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Solution

The third proportional to 63,910 and 96,759 is: 146,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,910 : 96,759 = 96,759 : x
  2. Step 2: Convert to fraction form
    63,910/96,759 = 96,759/x
  3. Step 3: Cross multiply
    63,910x = 96,759 × 96,759
  4. Step 4: Simplify right side
    63,910x = 9,362,304,081
  5. Step 5: Solve for x
    x = 9,362,304,081/63,910
  6. Step 6: Final answer
    x = 146,492.01

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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.