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Finding the Third Proportional to 63,288 and 137,916

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Solution

The third proportional to 63,288 and 137,916 is: 300,543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,288 : 137,916 = 137,916 : x
  2. Step 2: Convert to fraction form
    63,288/137,916 = 137,916/x
  3. Step 3: Cross multiply
    63,288x = 137,916 × 137,916
  4. Step 4: Simplify right side
    63,288x = 19,020,823,056
  5. Step 5: Solve for x
    x = 19,020,823,056/63,288
  6. Step 6: Final answer
    x = 300,543.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.