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Finding the Third Proportional to 103,212.75 and 152,901.75

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Solution

The third proportional to 103,212.75 and 152,901.75 is: 226,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,212.75 : 152,901.75 = 152,901.75 : x
  2. Step 2: Convert to fraction form
    103,212.75/152,901.75 = 152,901.75/x
  3. Step 3: Cross multiply
    103,212.75x = 152,901.75 × 152,901.75
  4. Step 4: Simplify right side
    103,212.75x = 23,378,945,153.06
  5. Step 5: Solve for x
    x = 23,378,945,153.06/103,212.75
  6. Step 6: Final answer
    x = 226,512.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.