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Finding the Third Proportional to 85,842 and 186,461

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Solution

The third proportional to 85,842 and 186,461 is: 405,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,842 : 186,461 = 186,461 : x
  2. Step 2: Convert to fraction form
    85,842/186,461 = 186,461/x
  3. Step 3: Cross multiply
    85,842x = 186,461 × 186,461
  4. Step 4: Simplify right side
    85,842x = 34,767,704,521
  5. Step 5: Solve for x
    x = 34,767,704,521/85,842
  6. Step 6: Final answer
    x = 405,019.74

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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.