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Finding the Third Proportional to 94,920 and 137,484

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Solution

The third proportional to 94,920 and 137,484 is: 199,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,920 : 137,484 = 137,484 : x
  2. Step 2: Convert to fraction form
    94,920/137,484 = 137,484/x
  3. Step 3: Cross multiply
    94,920x = 137,484 × 137,484
  4. Step 4: Simplify right side
    94,920x = 18,901,850,256
  5. Step 5: Solve for x
    x = 18,901,850,256/94,920
  6. Step 6: Final answer
    x = 199,134.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.