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Finding the Third Proportional to 106,520 and 232,106

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Solution

The third proportional to 106,520 and 232,106 is: 505,756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,520 : 232,106 = 232,106 : x
  2. Step 2: Convert to fraction form
    106,520/232,106 = 232,106/x
  3. Step 3: Cross multiply
    106,520x = 232,106 × 232,106
  4. Step 4: Simplify right side
    106,520x = 53,873,195,236
  5. Step 5: Solve for x
    x = 53,873,195,236/106,520
  6. Step 6: Final answer
    x = 505,756.62

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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.