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Finding the Third Proportional to 66,101.75 and 99,299.13

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Solution

The third proportional to 66,101.75 and 99,299.13 is: 149,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,101.75 : 99,299.13 = 99,299.13 : x
  2. Step 2: Convert to fraction form
    66,101.75/99,299.13 = 99,299.13/x
  3. Step 3: Cross multiply
    66,101.75x = 99,299.13 × 99,299.13
  4. Step 4: Simplify right side
    66,101.75x = 9,860,316,225.77
  5. Step 5: Solve for x
    x = 9,860,316,225.77/66,101.75
  6. Step 6: Final answer
    x = 149,168.76

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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.