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Finding the Third Proportional to 106,526 and 232,119

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Solution

The third proportional to 106,526 and 232,119 is: 505,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,526 : 232,119 = 232,119 : x
  2. Step 2: Convert to fraction form
    106,526/232,119 = 232,119/x
  3. Step 3: Cross multiply
    106,526x = 232,119 × 232,119
  4. Step 4: Simplify right side
    106,526x = 53,879,230,161
  5. Step 5: Solve for x
    x = 53,879,230,161/106,526
  6. Step 6: Final answer
    x = 505,784.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.