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Finding the Third Proportional to 79,983 and 175,032

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Solution

The third proportional to 79,983 and 175,032 is: 383,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,983 : 175,032 = 175,032 : x
  2. Step 2: Convert to fraction form
    79,983/175,032 = 175,032/x
  3. Step 3: Cross multiply
    79,983x = 175,032 × 175,032
  4. Step 4: Simplify right side
    79,983x = 30,636,201,024
  5. Step 5: Solve for x
    x = 30,636,201,024/79,983
  6. Step 6: Final answer
    x = 383,033.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.