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Finding the Third Proportional to 66,512.13 and 99,765.19

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Solution

The third proportional to 66,512.13 and 99,765.19 is: 149,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,512.13 : 99,765.19 = 99,765.19 : x
  2. Step 2: Convert to fraction form
    66,512.13/99,765.19 = 99,765.19/x
  3. Step 3: Cross multiply
    66,512.13x = 99,765.19 × 99,765.19
  4. Step 4: Simplify right side
    66,512.13x = 9,953,092,636.91
  5. Step 5: Solve for x
    x = 9,953,092,636.91/66,512.13
  6. Step 6: Final answer
    x = 149,643.28

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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.