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Finding the Third Proportional to 79,549 and 171,553

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Solution

The third proportional to 79,549 and 171,553 is: 369,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,549 : 171,553 = 171,553 : x
  2. Step 2: Convert to fraction form
    79,549/171,553 = 171,553/x
  3. Step 3: Cross multiply
    79,549x = 171,553 × 171,553
  4. Step 4: Simplify right side
    79,549x = 29,430,431,809
  5. Step 5: Solve for x
    x = 29,430,431,809/79,549
  6. Step 6: Final answer
    x = 369,966.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.