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Finding the Third Proportional to 75,156 and 177,737

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Solution

The third proportional to 75,156 and 177,737 is: 420,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,156 : 177,737 = 177,737 : x
  2. Step 2: Convert to fraction form
    75,156/177,737 = 177,737/x
  3. Step 3: Cross multiply
    75,156x = 177,737 × 177,737
  4. Step 4: Simplify right side
    75,156x = 31,590,441,169
  5. Step 5: Solve for x
    x = 31,590,441,169/75,156
  6. Step 6: Final answer
    x = 420,331.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.