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Finding the Third Proportional to 71,994 and 153,822

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Solution

The third proportional to 71,994 and 153,822 is: 328,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,994 : 153,822 = 153,822 : x
  2. Step 2: Convert to fraction form
    71,994/153,822 = 153,822/x
  3. Step 3: Cross multiply
    71,994x = 153,822 × 153,822
  4. Step 4: Simplify right side
    71,994x = 23,661,207,684
  5. Step 5: Solve for x
    x = 23,661,207,684/71,994
  6. Step 6: Final answer
    x = 328,655.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.