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Finding the Third Proportional to 87,356 and 191,056

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Solution

The third proportional to 87,356 and 191,056 is: 417,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,356 : 191,056 = 191,056 : x
  2. Step 2: Convert to fraction form
    87,356/191,056 = 191,056/x
  3. Step 3: Cross multiply
    87,356x = 191,056 × 191,056
  4. Step 4: Simplify right side
    87,356x = 36,502,395,136
  5. Step 5: Solve for x
    x = 36,502,395,136/87,356
  6. Step 6: Final answer
    x = 417,857.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.