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Finding the Third Proportional to 121,121 and 173,377

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Solution

The third proportional to 121,121 and 173,377 is: 248,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,121 : 173,377 = 173,377 : x
  2. Step 2: Convert to fraction form
    121,121/173,377 = 173,377/x
  3. Step 3: Cross multiply
    121,121x = 173,377 × 173,377
  4. Step 4: Simplify right side
    121,121x = 30,059,584,129
  5. Step 5: Solve for x
    x = 30,059,584,129/121,121
  6. Step 6: Final answer
    x = 248,178.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.