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Finding the Third Proportional to 58,354 and 88,227

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Solution

The third proportional to 58,354 and 88,227 is: 133,392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,354 : 88,227 = 88,227 : x
  2. Step 2: Convert to fraction form
    58,354/88,227 = 88,227/x
  3. Step 3: Cross multiply
    58,354x = 88,227 × 88,227
  4. Step 4: Simplify right side
    58,354x = 7,784,003,529
  5. Step 5: Solve for x
    x = 7,784,003,529/58,354
  6. Step 6: Final answer
    x = 133,392.80

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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.