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Finding the Third Proportional to 75,810 and 164,718

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Solution

The third proportional to 75,810 and 164,718 is: 357,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,810 : 164,718 = 164,718 : x
  2. Step 2: Convert to fraction form
    75,810/164,718 = 164,718/x
  3. Step 3: Cross multiply
    75,810x = 164,718 × 164,718
  4. Step 4: Simplify right side
    75,810x = 27,132,019,524
  5. Step 5: Solve for x
    x = 27,132,019,524/75,810
  6. Step 6: Final answer
    x = 357,894.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.