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Finding the Third Proportional to 57,784 and 86,288

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Solution

The third proportional to 57,784 and 86,288 is: 128,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,784 : 86,288 = 86,288 : x
  2. Step 2: Convert to fraction form
    57,784/86,288 = 86,288/x
  3. Step 3: Cross multiply
    57,784x = 86,288 × 86,288
  4. Step 4: Simplify right side
    57,784x = 7,445,618,944
  5. Step 5: Solve for x
    x = 7,445,618,944/57,784
  6. Step 6: Final answer
    x = 128,852.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.