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Finding the Third Proportional to 65,998 and 106,260

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Solution

The third proportional to 65,998 and 106,260 is: 171,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,998 : 106,260 = 106,260 : x
  2. Step 2: Convert to fraction form
    65,998/106,260 = 106,260/x
  3. Step 3: Cross multiply
    65,998x = 106,260 × 106,260
  4. Step 4: Simplify right side
    65,998x = 11,291,187,600
  5. Step 5: Solve for x
    x = 11,291,187,600/65,998
  6. Step 6: Final answer
    x = 171,083.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.