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Finding the Third Proportional to 103,767.75 and 155,652.75

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Solution

The third proportional to 103,767.75 and 155,652.75 is: 233,480.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,767.75 : 155,652.75 = 155,652.75 : x
  2. Step 2: Convert to fraction form
    103,767.75/155,652.75 = 155,652.75/x
  3. Step 3: Cross multiply
    103,767.75x = 155,652.75 × 155,652.75
  4. Step 4: Simplify right side
    103,767.75x = 24,227,778,582.56
  5. Step 5: Solve for x
    x = 24,227,778,582.56/103,767.75
  6. Step 6: Final answer
    x = 233,480.81

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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.