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Finding the Third Proportional to 109,718 and 147,081

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Solution

The third proportional to 109,718 and 147,081 is: 197,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,718 : 147,081 = 147,081 : x
  2. Step 2: Convert to fraction form
    109,718/147,081 = 147,081/x
  3. Step 3: Cross multiply
    109,718x = 147,081 × 147,081
  4. Step 4: Simplify right side
    109,718x = 21,632,820,561
  5. Step 5: Solve for x
    x = 21,632,820,561/109,718
  6. Step 6: Final answer
    x = 197,167.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.