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Finding the Third Proportional to 84,721.50 and 182,565

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Solution

The third proportional to 84,721.50 and 182,565 is: 393,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,721.50 : 182,565 = 182,565 : x
  2. Step 2: Convert to fraction form
    84,721.50/182,565 = 182,565/x
  3. Step 3: Cross multiply
    84,721.50x = 182,565 × 182,565
  4. Step 4: Simplify right side
    84,721.50x = 33,329,979,225
  5. Step 5: Solve for x
    x = 33,329,979,225/84,721.50
  6. Step 6: Final answer
    x = 393,406.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.