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Finding the Third Proportional to 49,324 and 77,293

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Solution

The third proportional to 49,324 and 77,293 is: 121,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,324 : 77,293 = 77,293 : x
  2. Step 2: Convert to fraction form
    49,324/77,293 = 77,293/x
  3. Step 3: Cross multiply
    49,324x = 77,293 × 77,293
  4. Step 4: Simplify right side
    49,324x = 5,974,207,849
  5. Step 5: Solve for x
    x = 5,974,207,849/49,324
  6. Step 6: Final answer
    x = 121,121.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.