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Finding the Third Proportional to 51,072 and 84,404.25

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Solution

The third proportional to 51,072 and 84,404.25 is: 139,490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,072 : 84,404.25 = 84,404.25 : x
  2. Step 2: Convert to fraction form
    51,072/84,404.25 = 84,404.25/x
  3. Step 3: Cross multiply
    51,072x = 84,404.25 × 84,404.25
  4. Step 4: Simplify right side
    51,072x = 7,124,077,418.06
  5. Step 5: Solve for x
    x = 7,124,077,418.06/51,072
  6. Step 6: Final answer
    x = 139,490.86

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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.