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Finding the Third Proportional to 131,610 and 187,571

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Solution

The third proportional to 131,610 and 187,571 is: 267,326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,610 : 187,571 = 187,571 : x
  2. Step 2: Convert to fraction form
    131,610/187,571 = 187,571/x
  3. Step 3: Cross multiply
    131,610x = 187,571 × 187,571
  4. Step 4: Simplify right side
    131,610x = 35,182,880,041
  5. Step 5: Solve for x
    x = 35,182,880,041/131,610
  6. Step 6: Final answer
    x = 267,326.80

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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.