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Finding the Third Proportional to 91,192 and 140,082

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Solution

The third proportional to 91,192 and 140,082 is: 215,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,192 : 140,082 = 140,082 : x
  2. Step 2: Convert to fraction form
    91,192/140,082 = 140,082/x
  3. Step 3: Cross multiply
    91,192x = 140,082 × 140,082
  4. Step 4: Simplify right side
    91,192x = 19,622,966,724
  5. Step 5: Solve for x
    x = 19,622,966,724/91,192
  6. Step 6: Final answer
    x = 215,182.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.