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Finding the Third Proportional to 74,790 and 158,020

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Solution

The third proportional to 74,790 and 158,020 is: 333,872.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,790 : 158,020 = 158,020 : x
  2. Step 2: Convert to fraction form
    74,790/158,020 = 158,020/x
  3. Step 3: Cross multiply
    74,790x = 158,020 × 158,020
  4. Step 4: Simplify right side
    74,790x = 24,970,320,400
  5. Step 5: Solve for x
    x = 24,970,320,400/74,790
  6. Step 6: Final answer
    x = 333,872.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.