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Finding the Third Proportional to 36,126 and 83,054

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Solution

The third proportional to 36,126 and 83,054 is: 190,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,126 : 83,054 = 83,054 : x
  2. Step 2: Convert to fraction form
    36,126/83,054 = 83,054/x
  3. Step 3: Cross multiply
    36,126x = 83,054 × 83,054
  4. Step 4: Simplify right side
    36,126x = 6,897,966,916
  5. Step 5: Solve for x
    x = 6,897,966,916/36,126
  6. Step 6: Final answer
    x = 190,941.90

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.