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Finding the Third Proportional to 74,822 and 160,021

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Solution

The third proportional to 74,822 and 160,021 is: 342,235.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,822 : 160,021 = 160,021 : x
  2. Step 2: Convert to fraction form
    74,822/160,021 = 160,021/x
  3. Step 3: Cross multiply
    74,822x = 160,021 × 160,021
  4. Step 4: Simplify right side
    74,822x = 25,606,720,441
  5. Step 5: Solve for x
    x = 25,606,720,441/74,822
  6. Step 6: Final answer
    x = 342,235.18

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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.