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Finding the Third Proportional to 70,731 and 153,902.25

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Solution

The third proportional to 70,731 and 153,902.25 is: 334,873.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,731 : 153,902.25 = 153,902.25 : x
  2. Step 2: Convert to fraction form
    70,731/153,902.25 = 153,902.25/x
  3. Step 3: Cross multiply
    70,731x = 153,902.25 × 153,902.25
  4. Step 4: Simplify right side
    70,731x = 23,685,902,555.06
  5. Step 5: Solve for x
    x = 23,685,902,555.06/70,731
  6. Step 6: Final answer
    x = 334,873.01

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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.