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Finding the Third Proportional to 42,063 and 91,964

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Solution

The third proportional to 42,063 and 91,964 is: 201,064.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,063 : 91,964 = 91,964 : x
  2. Step 2: Convert to fraction form
    42,063/91,964 = 91,964/x
  3. Step 3: Cross multiply
    42,063x = 91,964 × 91,964
  4. Step 4: Simplify right side
    42,063x = 8,457,377,296
  5. Step 5: Solve for x
    x = 8,457,377,296/42,063
  6. Step 6: Final answer
    x = 201,064.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.