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Finding the Third Proportional to 40,948 and 65,188

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Solution

The third proportional to 40,948 and 65,188 is: 103,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,948 : 65,188 = 65,188 : x
  2. Step 2: Convert to fraction form
    40,948/65,188 = 65,188/x
  3. Step 3: Cross multiply
    40,948x = 65,188 × 65,188
  4. Step 4: Simplify right side
    40,948x = 4,249,475,344
  5. Step 5: Solve for x
    x = 4,249,475,344/40,948
  6. Step 6: Final answer
    x = 103,777.36

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.