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Finding the Third Proportional to 87,756 and 139,495

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Solution

The third proportional to 87,756 and 139,495 is: 221,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,756 : 139,495 = 139,495 : x
  2. Step 2: Convert to fraction form
    87,756/139,495 = 139,495/x
  3. Step 3: Cross multiply
    87,756x = 139,495 × 139,495
  4. Step 4: Simplify right side
    87,756x = 19,458,855,025
  5. Step 5: Solve for x
    x = 19,458,855,025/87,756
  6. Step 6: Final answer
    x = 221,738.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.