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Finding the Third Proportional to 83,853 and 128,700

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Solution

The third proportional to 83,853 and 128,700 is: 197,532.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,853 : 128,700 = 128,700 : x
  2. Step 2: Convert to fraction form
    83,853/128,700 = 128,700/x
  3. Step 3: Cross multiply
    83,853x = 128,700 × 128,700
  4. Step 4: Simplify right side
    83,853x = 16,563,690,000
  5. Step 5: Solve for x
    x = 16,563,690,000/83,853
  6. Step 6: Final answer
    x = 197,532.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.