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Finding the Third Proportional to 106,220 and 154,947

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Solution

The third proportional to 106,220 and 154,947 is: 226,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,220 : 154,947 = 154,947 : x
  2. Step 2: Convert to fraction form
    106,220/154,947 = 154,947/x
  3. Step 3: Cross multiply
    106,220x = 154,947 × 154,947
  4. Step 4: Simplify right side
    106,220x = 24,008,572,809
  5. Step 5: Solve for x
    x = 24,008,572,809/106,220
  6. Step 6: Final answer
    x = 226,026.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.