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Finding the Third Proportional to 63,938 and 100,298

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Solution

The third proportional to 63,938 and 100,298 is: 157,335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,938 : 100,298 = 100,298 : x
  2. Step 2: Convert to fraction form
    63,938/100,298 = 100,298/x
  3. Step 3: Cross multiply
    63,938x = 100,298 × 100,298
  4. Step 4: Simplify right side
    63,938x = 10,059,688,804
  5. Step 5: Solve for x
    x = 10,059,688,804/63,938
  6. Step 6: Final answer
    x = 157,335.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.