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Finding the Third Proportional to 66,502 and 99,916

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Solution

The third proportional to 66,502 and 99,916 is: 150,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,502 : 99,916 = 99,916 : x
  2. Step 2: Convert to fraction form
    66,502/99,916 = 99,916/x
  3. Step 3: Cross multiply
    66,502x = 99,916 × 99,916
  4. Step 4: Simplify right side
    66,502x = 9,983,207,056
  5. Step 5: Solve for x
    x = 9,983,207,056/66,502
  6. Step 6: Final answer
    x = 150,118.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.