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Finding the Third Proportional to 65,938 and 142,436

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Solution

The third proportional to 65,938 and 142,436 is: 307,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,938 : 142,436 = 142,436 : x
  2. Step 2: Convert to fraction form
    65,938/142,436 = 142,436/x
  3. Step 3: Cross multiply
    65,938x = 142,436 × 142,436
  4. Step 4: Simplify right side
    65,938x = 20,288,014,096
  5. Step 5: Solve for x
    x = 20,288,014,096/65,938
  6. Step 6: Final answer
    x = 307,683.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.