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Finding the Third Proportional to 45,252 and 66,563

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Solution

The third proportional to 45,252 and 66,563 is: 97,910.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,252 : 66,563 = 66,563 : x
  2. Step 2: Convert to fraction form
    45,252/66,563 = 66,563/x
  3. Step 3: Cross multiply
    45,252x = 66,563 × 66,563
  4. Step 4: Simplify right side
    45,252x = 4,430,632,969
  5. Step 5: Solve for x
    x = 4,430,632,969/45,252
  6. Step 6: Final answer
    x = 97,910.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.