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Finding the Third Proportional to 86,537 and 186,001

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Solution

The third proportional to 86,537 and 186,001 is: 399,787.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,537 : 186,001 = 186,001 : x
  2. Step 2: Convert to fraction form
    86,537/186,001 = 186,001/x
  3. Step 3: Cross multiply
    86,537x = 186,001 × 186,001
  4. Step 4: Simplify right side
    86,537x = 34,596,372,001
  5. Step 5: Solve for x
    x = 34,596,372,001/86,537
  6. Step 6: Final answer
    x = 399,787.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.