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Finding the Third Proportional to 60,477 and 131,704

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Solution

The third proportional to 60,477 and 131,704 is: 286,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,477 : 131,704 = 131,704 : x
  2. Step 2: Convert to fraction form
    60,477/131,704 = 131,704/x
  3. Step 3: Cross multiply
    60,477x = 131,704 × 131,704
  4. Step 4: Simplify right side
    60,477x = 17,345,943,616
  5. Step 5: Solve for x
    x = 17,345,943,616/60,477
  6. Step 6: Final answer
    x = 286,818.85

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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.