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Finding the Third Proportional to 83,292 and 128,124

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Solution

The third proportional to 83,292 and 128,124 is: 197,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,292 : 128,124 = 128,124 : x
  2. Step 2: Convert to fraction form
    83,292/128,124 = 128,124/x
  3. Step 3: Cross multiply
    83,292x = 128,124 × 128,124
  4. Step 4: Simplify right side
    83,292x = 16,415,759,376
  5. Step 5: Solve for x
    x = 16,415,759,376/83,292
  6. Step 6: Final answer
    x = 197,086.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.