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Finding the Third Proportional to 65,804 and 101,782

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Solution

The third proportional to 65,804 and 101,782 is: 157,430.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,804 : 101,782 = 101,782 : x
  2. Step 2: Convert to fraction form
    65,804/101,782 = 101,782/x
  3. Step 3: Cross multiply
    65,804x = 101,782 × 101,782
  4. Step 4: Simplify right side
    65,804x = 10,359,575,524
  5. Step 5: Solve for x
    x = 10,359,575,524/65,804
  6. Step 6: Final answer
    x = 157,430.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.