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Finding the Third Proportional to 88,371 and 133,843

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Solution

The third proportional to 88,371 and 133,843 is: 202,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,371 : 133,843 = 133,843 : x
  2. Step 2: Convert to fraction form
    88,371/133,843 = 133,843/x
  3. Step 3: Cross multiply
    88,371x = 133,843 × 133,843
  4. Step 4: Simplify right side
    88,371x = 17,913,948,649
  5. Step 5: Solve for x
    x = 17,913,948,649/88,371
  6. Step 6: Final answer
    x = 202,712.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.