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Finding the Third Proportional to 88,765 and 194,721

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Solution

The third proportional to 88,765 and 194,721 is: 427,153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,765 : 194,721 = 194,721 : x
  2. Step 2: Convert to fraction form
    88,765/194,721 = 194,721/x
  3. Step 3: Cross multiply
    88,765x = 194,721 × 194,721
  4. Step 4: Simplify right side
    88,765x = 37,916,267,841
  5. Step 5: Solve for x
    x = 37,916,267,841/88,765
  6. Step 6: Final answer
    x = 427,153.36

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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.