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Finding the Third Proportional to 87,346 and 187,158

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Solution

The third proportional to 87,346 and 187,158 is: 401,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,346 : 187,158 = 187,158 : x
  2. Step 2: Convert to fraction form
    87,346/187,158 = 187,158/x
  3. Step 3: Cross multiply
    87,346x = 187,158 × 187,158
  4. Step 4: Simplify right side
    87,346x = 35,028,116,964
  5. Step 5: Solve for x
    x = 35,028,116,964/87,346
  6. Step 6: Final answer
    x = 401,027.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.