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Finding the Third Proportional to 131,715.49 and 188,235.77

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Solution

The third proportional to 131,715.49 and 188,235.77 is: 269,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,715.49 : 188,235.77 = 188,235.77 : x
  2. Step 2: Convert to fraction form
    131,715.49/188,235.77 = 188,235.77/x
  3. Step 3: Cross multiply
    131,715.49x = 188,235.77 × 188,235.77
  4. Step 4: Simplify right side
    131,715.49x = 35,432,706,401.61
  5. Step 5: Solve for x
    x = 35,432,706,401.61/131,715.49
  6. Step 6: Final answer
    x = 269,009.41

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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.