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Finding the Third Proportional to 56,382 and 122,484

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Solution

The third proportional to 56,382 and 122,484 is: 266,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,382 : 122,484 = 122,484 : x
  2. Step 2: Convert to fraction form
    56,382/122,484 = 122,484/x
  3. Step 3: Cross multiply
    56,382x = 122,484 × 122,484
  4. Step 4: Simplify right side
    56,382x = 15,002,330,256
  5. Step 5: Solve for x
    x = 15,002,330,256/56,382
  6. Step 6: Final answer
    x = 266,083.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.