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Finding the Third Proportional to 66,712.97 and 145,737.94

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Solution

The third proportional to 66,712.97 and 145,737.94 is: 318,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,712.97 : 145,737.94 = 145,737.94 : x
  2. Step 2: Convert to fraction form
    66,712.97/145,737.94 = 145,737.94/x
  3. Step 3: Cross multiply
    66,712.97x = 145,737.94 × 145,737.94
  4. Step 4: Simplify right side
    66,712.97x = 21,239,546,426.75
  5. Step 5: Solve for x
    x = 21,239,546,426.75/66,712.97
  6. Step 6: Final answer
    x = 318,372.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.