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Finding the Third Proportional to 43,710 and 90,529

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Solution

The third proportional to 43,710 and 90,529 is: 187,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,710 : 90,529 = 90,529 : x
  2. Step 2: Convert to fraction form
    43,710/90,529 = 90,529/x
  3. Step 3: Cross multiply
    43,710x = 90,529 × 90,529
  4. Step 4: Simplify right side
    43,710x = 8,195,499,841
  5. Step 5: Solve for x
    x = 8,195,499,841/43,710
  6. Step 6: Final answer
    x = 187,497.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.