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Finding the Third Proportional to 123,187 and 171,630.50

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Solution

The third proportional to 123,187 and 171,630.50 is: 239,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,187 : 171,630.50 = 171,630.50 : x
  2. Step 2: Convert to fraction form
    123,187/171,630.50 = 171,630.50/x
  3. Step 3: Cross multiply
    123,187x = 171,630.50 × 171,630.50
  4. Step 4: Simplify right side
    123,187x = 29,457,028,530.25
  5. Step 5: Solve for x
    x = 29,457,028,530.25/123,187
  6. Step 6: Final answer
    x = 239,124.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.