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Finding the Third Proportional to 91,754 and 134,089

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Solution

The third proportional to 91,754 and 134,089 is: 195,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,754 : 134,089 = 134,089 : x
  2. Step 2: Convert to fraction form
    91,754/134,089 = 134,089/x
  3. Step 3: Cross multiply
    91,754x = 134,089 × 134,089
  4. Step 4: Simplify right side
    91,754x = 17,979,859,921
  5. Step 5: Solve for x
    x = 17,979,859,921/91,754
  6. Step 6: Final answer
    x = 195,957.23

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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.