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Finding the Third Proportional to 107,122 and 235,477

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Solution

The third proportional to 107,122 and 235,477 is: 517,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,122 : 235,477 = 235,477 : x
  2. Step 2: Convert to fraction form
    107,122/235,477 = 235,477/x
  3. Step 3: Cross multiply
    107,122x = 235,477 × 235,477
  4. Step 4: Simplify right side
    107,122x = 55,449,417,529
  5. Step 5: Solve for x
    x = 55,449,417,529/107,122
  6. Step 6: Final answer
    x = 517,628.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.