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Finding the Third Proportional to 91,885 and 148,028

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Solution

The third proportional to 91,885 and 148,028 is: 238,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,885 : 148,028 = 148,028 : x
  2. Step 2: Convert to fraction form
    91,885/148,028 = 148,028/x
  3. Step 3: Cross multiply
    91,885x = 148,028 × 148,028
  4. Step 4: Simplify right side
    91,885x = 21,912,288,784
  5. Step 5: Solve for x
    x = 21,912,288,784/91,885
  6. Step 6: Final answer
    x = 238,475.15

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.