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Finding the Third Proportional to 66,513.75 and 99,767.63

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Solution

The third proportional to 66,513.75 and 99,767.63 is: 149,646.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,513.75 : 99,767.63 = 99,767.63 : x
  2. Step 2: Convert to fraction form
    66,513.75/99,767.63 = 99,767.63/x
  3. Step 3: Cross multiply
    66,513.75x = 99,767.63 × 99,767.63
  4. Step 4: Simplify right side
    66,513.75x = 9,953,578,998.14
  5. Step 5: Solve for x
    x = 9,953,578,998.14/66,513.75
  6. Step 6: Final answer
    x = 149,646.94

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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.