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Finding the Third Proportional to 70,504 and 153,967

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Solution

The third proportional to 70,504 and 153,967 is: 336,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,504 : 153,967 = 153,967 : x
  2. Step 2: Convert to fraction form
    70,504/153,967 = 153,967/x
  3. Step 3: Cross multiply
    70,504x = 153,967 × 153,967
  4. Step 4: Simplify right side
    70,504x = 23,705,837,089
  5. Step 5: Solve for x
    x = 23,705,837,089/70,504
  6. Step 6: Final answer
    x = 336,233.93

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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.