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Finding the Third Proportional to 82,516 and 128,704

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Solution

The third proportional to 82,516 and 128,704 is: 200,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,516 : 128,704 = 128,704 : x
  2. Step 2: Convert to fraction form
    82,516/128,704 = 128,704/x
  3. Step 3: Cross multiply
    82,516x = 128,704 × 128,704
  4. Step 4: Simplify right side
    82,516x = 16,564,719,616
  5. Step 5: Solve for x
    x = 16,564,719,616/82,516
  6. Step 6: Final answer
    x = 200,745.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.