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Finding the Third Proportional to 35,671 and 84,359

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Solution

The third proportional to 35,671 and 84,359 is: 199,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,671 : 84,359 = 84,359 : x
  2. Step 2: Convert to fraction form
    35,671/84,359 = 84,359/x
  3. Step 3: Cross multiply
    35,671x = 84,359 × 84,359
  4. Step 4: Simplify right side
    35,671x = 7,116,440,881
  5. Step 5: Solve for x
    x = 7,116,440,881/35,671
  6. Step 6: Final answer
    x = 199,502.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.