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Finding the Third Proportional to 74,523.75 and 110,773.13

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Solution

The third proportional to 74,523.75 and 110,773.13 is: 164,654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,523.75 : 110,773.13 = 110,773.13 : x
  2. Step 2: Convert to fraction form
    74,523.75/110,773.13 = 110,773.13/x
  3. Step 3: Cross multiply
    74,523.75x = 110,773.13 × 110,773.13
  4. Step 4: Simplify right side
    74,523.75x = 12,270,685,222.27
  5. Step 5: Solve for x
    x = 12,270,685,222.27/74,523.75
  6. Step 6: Final answer
    x = 164,654.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.