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Finding the Third Proportional to 106,972.50 and 229,125

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Solution

The third proportional to 106,972.50 and 229,125 is: 490,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,972.50 : 229,125 = 229,125 : x
  2. Step 2: Convert to fraction form
    106,972.50/229,125 = 229,125/x
  3. Step 3: Cross multiply
    106,972.50x = 229,125 × 229,125
  4. Step 4: Simplify right side
    106,972.50x = 52,498,265,625
  5. Step 5: Solve for x
    x = 52,498,265,625/106,972.50
  6. Step 6: Final answer
    x = 490,764.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.