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Finding the Third Proportional to 68,124 and 102,207.75

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Solution

The third proportional to 68,124 and 102,207.75 is: 153,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,124 : 102,207.75 = 102,207.75 : x
  2. Step 2: Convert to fraction form
    68,124/102,207.75 = 102,207.75/x
  3. Step 3: Cross multiply
    68,124x = 102,207.75 × 102,207.75
  4. Step 4: Simplify right side
    68,124x = 10,446,424,160.06
  5. Step 5: Solve for x
    x = 10,446,424,160.06/68,124
  6. Step 6: Final answer
    x = 153,344.26

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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.