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Finding the Third Proportional to 43,364 and 90,130

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Solution

The third proportional to 43,364 and 90,130 is: 187,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,364 : 90,130 = 90,130 : x
  2. Step 2: Convert to fraction form
    43,364/90,130 = 90,130/x
  3. Step 3: Cross multiply
    43,364x = 90,130 × 90,130
  4. Step 4: Simplify right side
    43,364x = 8,123,416,900
  5. Step 5: Solve for x
    x = 8,123,416,900/43,364
  6. Step 6: Final answer
    x = 187,330.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.