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Finding the Third Proportional to 87,623 and 191,462

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Solution

The third proportional to 87,623 and 191,462 is: 418,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,623 : 191,462 = 191,462 : x
  2. Step 2: Convert to fraction form
    87,623/191,462 = 191,462/x
  3. Step 3: Cross multiply
    87,623x = 191,462 × 191,462
  4. Step 4: Simplify right side
    87,623x = 36,657,697,444
  5. Step 5: Solve for x
    x = 36,657,697,444/87,623
  6. Step 6: Final answer
    x = 418,357.02

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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.