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Finding the Third Proportional to 79,553 and 171,297

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Solution

The third proportional to 79,553 and 171,297 is: 368,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,553 : 171,297 = 171,297 : x
  2. Step 2: Convert to fraction form
    79,553/171,297 = 171,297/x
  3. Step 3: Cross multiply
    79,553x = 171,297 × 171,297
  4. Step 4: Simplify right side
    79,553x = 29,342,662,209
  5. Step 5: Solve for x
    x = 29,342,662,209/79,553
  6. Step 6: Final answer
    x = 368,844.19

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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.