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Finding the Third Proportional to 133,822 and 195,708

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Solution

The third proportional to 133,822 and 195,708 is: 286,213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,822 : 195,708 = 195,708 : x
  2. Step 2: Convert to fraction form
    133,822/195,708 = 195,708/x
  3. Step 3: Cross multiply
    133,822x = 195,708 × 195,708
  4. Step 4: Simplify right side
    133,822x = 38,301,621,264
  5. Step 5: Solve for x
    x = 38,301,621,264/133,822
  6. Step 6: Final answer
    x = 286,213.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.