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Finding the Third Proportional to 82,032 and 128,518

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Solution

The third proportional to 82,032 and 128,518 is: 201,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,032 : 128,518 = 128,518 : x
  2. Step 2: Convert to fraction form
    82,032/128,518 = 128,518/x
  3. Step 3: Cross multiply
    82,032x = 128,518 × 128,518
  4. Step 4: Simplify right side
    82,032x = 16,516,876,324
  5. Step 5: Solve for x
    x = 16,516,876,324/82,032
  6. Step 6: Final answer
    x = 201,346.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.