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Finding the Third Proportional to 72,600.38 and 116,960.25

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Solution

The third proportional to 72,600.38 and 116,960.25 is: 188,424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,600.38 : 116,960.25 = 116,960.25 : x
  2. Step 2: Convert to fraction form
    72,600.38/116,960.25 = 116,960.25/x
  3. Step 3: Cross multiply
    72,600.38x = 116,960.25 × 116,960.25
  4. Step 4: Simplify right side
    72,600.38x = 13,679,700,080.06
  5. Step 5: Solve for x
    x = 13,679,700,080.06/72,600.38
  6. Step 6: Final answer
    x = 188,424.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.