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Finding the Third Proportional to 133,627 and 196,065

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Solution

The third proportional to 133,627 and 196,065 is: 287,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,627 : 196,065 = 196,065 : x
  2. Step 2: Convert to fraction form
    133,627/196,065 = 196,065/x
  3. Step 3: Cross multiply
    133,627x = 196,065 × 196,065
  4. Step 4: Simplify right side
    133,627x = 38,441,484,225
  5. Step 5: Solve for x
    x = 38,441,484,225/133,627
  6. Step 6: Final answer
    x = 287,677.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.