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Finding the Third Proportional to 102,462.75 and 155,769.75

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Solution

The third proportional to 102,462.75 and 155,769.75 is: 236,810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,462.75 : 155,769.75 = 155,769.75 : x
  2. Step 2: Convert to fraction form
    102,462.75/155,769.75 = 155,769.75/x
  3. Step 3: Cross multiply
    102,462.75x = 155,769.75 × 155,769.75
  4. Step 4: Simplify right side
    102,462.75x = 24,264,215,015.06
  5. Step 5: Solve for x
    x = 24,264,215,015.06/102,462.75
  6. Step 6: Final answer
    x = 236,810.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.