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Finding the Third Proportional to 92,405 and 147,082

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Solution

The third proportional to 92,405 and 147,082 is: 234,111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,405 : 147,082 = 147,082 : x
  2. Step 2: Convert to fraction form
    92,405/147,082 = 147,082/x
  3. Step 3: Cross multiply
    92,405x = 147,082 × 147,082
  4. Step 4: Simplify right side
    92,405x = 21,633,114,724
  5. Step 5: Solve for x
    x = 21,633,114,724/92,405
  6. Step 6: Final answer
    x = 234,111.95

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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.