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Finding the Third Proportional to 84,024 and 175,840

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Solution

The third proportional to 84,024 and 175,840 is: 367,986.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,024 : 175,840 = 175,840 : x
  2. Step 2: Convert to fraction form
    84,024/175,840 = 175,840/x
  3. Step 3: Cross multiply
    84,024x = 175,840 × 175,840
  4. Step 4: Simplify right side
    84,024x = 30,919,705,600
  5. Step 5: Solve for x
    x = 30,919,705,600/84,024
  6. Step 6: Final answer
    x = 367,986.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.