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Finding the Third Proportional to 70,734 and 153,957

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Solution

The third proportional to 70,734 and 153,957 is: 335,097.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,734 : 153,957 = 153,957 : x
  2. Step 2: Convert to fraction form
    70,734/153,957 = 153,957/x
  3. Step 3: Cross multiply
    70,734x = 153,957 × 153,957
  4. Step 4: Simplify right side
    70,734x = 23,702,757,849
  5. Step 5: Solve for x
    x = 23,702,757,849/70,734
  6. Step 6: Final answer
    x = 335,097.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.