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Finding the Third Proportional to 87,495 and 191,028

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Solution

The third proportional to 87,495 and 191,028 is: 417,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,495 : 191,028 = 191,028 : x
  2. Step 2: Convert to fraction form
    87,495/191,028 = 191,028/x
  3. Step 3: Cross multiply
    87,495x = 191,028 × 191,028
  4. Step 4: Simplify right side
    87,495x = 36,491,696,784
  5. Step 5: Solve for x
    x = 36,491,696,784/87,495
  6. Step 6: Final answer
    x = 417,071.80

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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.