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Finding the Third Proportional to 84,702 and 186,693

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Solution

The third proportional to 84,702 and 186,693 is: 411,492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,702 : 186,693 = 186,693 : x
  2. Step 2: Convert to fraction form
    84,702/186,693 = 186,693/x
  3. Step 3: Cross multiply
    84,702x = 186,693 × 186,693
  4. Step 4: Simplify right side
    84,702x = 34,854,276,249
  5. Step 5: Solve for x
    x = 34,854,276,249/84,702
  6. Step 6: Final answer
    x = 411,492.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.