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Finding the Third Proportional to 51,007 and 84,292

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Solution

The third proportional to 51,007 and 84,292 is: 139,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,007 : 84,292 = 84,292 : x
  2. Step 2: Convert to fraction form
    51,007/84,292 = 84,292/x
  3. Step 3: Cross multiply
    51,007x = 84,292 × 84,292
  4. Step 4: Simplify right side
    51,007x = 7,105,141,264
  5. Step 5: Solve for x
    x = 7,105,141,264/51,007
  6. Step 6: Final answer
    x = 139,297.38

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.