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Finding the Third Proportional to 66,483 and 99,773

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Solution

The third proportional to 66,483 and 99,773 is: 149,732.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,483 : 99,773 = 99,773 : x
  2. Step 2: Convert to fraction form
    66,483/99,773 = 99,773/x
  3. Step 3: Cross multiply
    66,483x = 99,773 × 99,773
  4. Step 4: Simplify right side
    66,483x = 9,954,651,529
  5. Step 5: Solve for x
    x = 9,954,651,529/66,483
  6. Step 6: Final answer
    x = 149,732.29

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Why These Related Problems?

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