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Finding the Third Proportional to 85,980 and 131,440

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Solution

The third proportional to 85,980 and 131,440 is: 200,935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,980 : 131,440 = 131,440 : x
  2. Step 2: Convert to fraction form
    85,980/131,440 = 131,440/x
  3. Step 3: Cross multiply
    85,980x = 131,440 × 131,440
  4. Step 4: Simplify right side
    85,980x = 17,276,473,600
  5. Step 5: Solve for x
    x = 17,276,473,600/85,980
  6. Step 6: Final answer
    x = 200,935.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.