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Finding the Third Proportional to 87,470 and 191,752

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Solution

The third proportional to 87,470 and 191,752 is: 420,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,470 : 191,752 = 191,752 : x
  2. Step 2: Convert to fraction form
    87,470/191,752 = 191,752/x
  3. Step 3: Cross multiply
    87,470x = 191,752 × 191,752
  4. Step 4: Simplify right side
    87,470x = 36,768,829,504
  5. Step 5: Solve for x
    x = 36,768,829,504/87,470
  6. Step 6: Final answer
    x = 420,359.32

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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.