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Finding the Third Proportional to 72,186 and 108,169.50

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Solution

The third proportional to 72,186 and 108,169.50 is: 162,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,186 : 108,169.50 = 108,169.50 : x
  2. Step 2: Convert to fraction form
    72,186/108,169.50 = 108,169.50/x
  3. Step 3: Cross multiply
    72,186x = 108,169.50 × 108,169.50
  4. Step 4: Simplify right side
    72,186x = 11,700,640,730.25
  5. Step 5: Solve for x
    x = 11,700,640,730.25/72,186
  6. Step 6: Final answer
    x = 162,090.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.