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Finding the Third Proportional to 91,768 and 134,619

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Solution

The third proportional to 91,768 and 134,619 is: 197,479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,768 : 134,619 = 134,619 : x
  2. Step 2: Convert to fraction form
    91,768/134,619 = 134,619/x
  3. Step 3: Cross multiply
    91,768x = 134,619 × 134,619
  4. Step 4: Simplify right side
    91,768x = 18,122,275,161
  5. Step 5: Solve for x
    x = 18,122,275,161/91,768
  6. Step 6: Final answer
    x = 197,479.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.