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Finding the Third Proportional to 106,162.50 and 250,254.75

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Solution

The third proportional to 106,162.50 and 250,254.75 is: 589,920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,162.50 : 250,254.75 = 250,254.75 : x
  2. Step 2: Convert to fraction form
    106,162.50/250,254.75 = 250,254.75/x
  3. Step 3: Cross multiply
    106,162.50x = 250,254.75 × 250,254.75
  4. Step 4: Simplify right side
    106,162.50x = 62,627,439,897.56
  5. Step 5: Solve for x
    x = 62,627,439,897.56/106,162.50
  6. Step 6: Final answer
    x = 589,920.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.