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Finding the Third Proportional to 87,513 and 191,970

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Solution

The third proportional to 87,513 and 191,970 is: 421,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,513 : 191,970 = 191,970 : x
  2. Step 2: Convert to fraction form
    87,513/191,970 = 191,970/x
  3. Step 3: Cross multiply
    87,513x = 191,970 × 191,970
  4. Step 4: Simplify right side
    87,513x = 36,852,480,900
  5. Step 5: Solve for x
    x = 36,852,480,900/87,513
  6. Step 6: Final answer
    x = 421,108.65

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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.