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Finding the Third Proportional to 52,731 and 84,916.69

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Solution

The third proportional to 52,731 and 84,916.69 is: 136,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,731 : 84,916.69 = 84,916.69 : x
  2. Step 2: Convert to fraction form
    52,731/84,916.69 = 84,916.69/x
  3. Step 3: Cross multiply
    52,731x = 84,916.69 × 84,916.69
  4. Step 4: Simplify right side
    52,731x = 7,210,843,815.97
  5. Step 5: Solve for x
    x = 7,210,843,815.97/52,731
  6. Step 6: Final answer
    x = 136,747.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.