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Finding the Third Proportional to 70,760 and 153,796

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Solution

The third proportional to 70,760 and 153,796 is: 334,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,760 : 153,796 = 153,796 : x
  2. Step 2: Convert to fraction form
    70,760/153,796 = 153,796/x
  3. Step 3: Cross multiply
    70,760x = 153,796 × 153,796
  4. Step 4: Simplify right side
    70,760x = 23,653,209,616
  5. Step 5: Solve for x
    x = 23,653,209,616/70,760
  6. Step 6: Final answer
    x = 334,273.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.