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Finding the Third Proportional to 83,600 and 128,024

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Solution

The third proportional to 83,600 and 128,024 is: 196,054.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,600 : 128,024 = 128,024 : x
  2. Step 2: Convert to fraction form
    83,600/128,024 = 128,024/x
  3. Step 3: Cross multiply
    83,600x = 128,024 × 128,024
  4. Step 4: Simplify right side
    83,600x = 16,390,144,576
  5. Step 5: Solve for x
    x = 16,390,144,576/83,600
  6. Step 6: Final answer
    x = 196,054.36

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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.