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Finding the Third Proportional to 82,497 and 128,673

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Solution

The third proportional to 82,497 and 128,673 is: 200,695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,497 : 128,673 = 128,673 : x
  2. Step 2: Convert to fraction form
    82,497/128,673 = 128,673/x
  3. Step 3: Cross multiply
    82,497x = 128,673 × 128,673
  4. Step 4: Simplify right side
    82,497x = 16,556,740,929
  5. Step 5: Solve for x
    x = 16,556,740,929/82,497
  6. Step 6: Final answer
    x = 200,695.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.