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Finding the Third Proportional to 91,748 and 134,082

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Solution

The third proportional to 91,748 and 134,082 is: 195,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,748 : 134,082 = 134,082 : x
  2. Step 2: Convert to fraction form
    91,748/134,082 = 134,082/x
  3. Step 3: Cross multiply
    91,748x = 134,082 × 134,082
  4. Step 4: Simplify right side
    91,748x = 17,977,982,724
  5. Step 5: Solve for x
    x = 17,977,982,724/91,748
  6. Step 6: Final answer
    x = 195,949.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.