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Finding the Third Proportional to 66,102.75 and 99,300.52

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Solution

The third proportional to 66,102.75 and 99,300.52 is: 149,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,102.75 : 99,300.52 = 99,300.52 : x
  2. Step 2: Convert to fraction form
    66,102.75/99,300.52 = 99,300.52/x
  3. Step 3: Cross multiply
    66,102.75x = 99,300.52 × 99,300.52
  4. Step 4: Simplify right side
    66,102.75x = 9,860,592,403.39
  5. Step 5: Solve for x
    x = 9,860,592,403.39/66,102.75
  6. Step 6: Final answer
    x = 149,170.68

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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.