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Finding the Third Proportional to 66,961.13 and 107,661.38

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Solution

The third proportional to 66,961.13 and 107,661.38 is: 173,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,961.13 : 107,661.38 = 107,661.38 : x
  2. Step 2: Convert to fraction form
    66,961.13/107,661.38 = 107,661.38/x
  3. Step 3: Cross multiply
    66,961.13x = 107,661.38 × 107,661.38
  4. Step 4: Simplify right side
    66,961.13x = 11,590,971,666.89
  5. Step 5: Solve for x
    x = 11,590,971,666.89/66,961.13
  6. Step 6: Final answer
    x = 173,100.01

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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.