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Finding the Third Proportional to 59,252.50 and 139,869

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Solution

The third proportional to 59,252.50 and 139,869 is: 330,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,252.50 : 139,869 = 139,869 : x
  2. Step 2: Convert to fraction form
    59,252.50/139,869 = 139,869/x
  3. Step 3: Cross multiply
    59,252.50x = 139,869 × 139,869
  4. Step 4: Simplify right side
    59,252.50x = 19,563,337,161
  5. Step 5: Solve for x
    x = 19,563,337,161/59,252.50
  6. Step 6: Final answer
    x = 330,168.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.