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Finding the Third Proportional to 118,943 and 173,948

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Solution

The third proportional to 118,943 and 173,948 is: 254,389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,943 : 173,948 = 173,948 : x
  2. Step 2: Convert to fraction form
    118,943/173,948 = 173,948/x
  3. Step 3: Cross multiply
    118,943x = 173,948 × 173,948
  4. Step 4: Simplify right side
    118,943x = 30,257,906,704
  5. Step 5: Solve for x
    x = 30,257,906,704/118,943
  6. Step 6: Final answer
    x = 254,389.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.