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Finding the Third Proportional to 63,759 and 98,381

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Solution

The third proportional to 63,759 and 98,381 is: 151,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,759 : 98,381 = 98,381 : x
  2. Step 2: Convert to fraction form
    63,759/98,381 = 98,381/x
  3. Step 3: Cross multiply
    63,759x = 98,381 × 98,381
  4. Step 4: Simplify right side
    63,759x = 9,678,821,161
  5. Step 5: Solve for x
    x = 9,678,821,161/63,759
  6. Step 6: Final answer
    x = 151,803.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.