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Finding the Third Proportional to 66,480 and 99,493

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Solution

The third proportional to 66,480 and 99,493 is: 148,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,480 : 99,493 = 99,493 : x
  2. Step 2: Convert to fraction form
    66,480/99,493 = 99,493/x
  3. Step 3: Cross multiply
    66,480x = 99,493 × 99,493
  4. Step 4: Simplify right side
    66,480x = 9,898,857,049
  5. Step 5: Solve for x
    x = 9,898,857,049/66,480
  6. Step 6: Final answer
    x = 148,899.78

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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.