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Finding the Third Proportional to 63,945 and 89,442

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Solution

The third proportional to 63,945 and 89,442 is: 125,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,945 : 89,442 = 89,442 : x
  2. Step 2: Convert to fraction form
    63,945/89,442 = 89,442/x
  3. Step 3: Cross multiply
    63,945x = 89,442 × 89,442
  4. Step 4: Simplify right side
    63,945x = 7,999,871,364
  5. Step 5: Solve for x
    x = 7,999,871,364/63,945
  6. Step 6: Final answer
    x = 125,105.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.