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Finding the Third Proportional to 87,528 and 190,894

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Solution

The third proportional to 87,528 and 190,894 is: 416,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,528 : 190,894 = 190,894 : x
  2. Step 2: Convert to fraction form
    87,528/190,894 = 190,894/x
  3. Step 3: Cross multiply
    87,528x = 190,894 × 190,894
  4. Step 4: Simplify right side
    87,528x = 36,440,519,236
  5. Step 5: Solve for x
    x = 36,440,519,236/87,528
  6. Step 6: Final answer
    x = 416,329.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.