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Finding the Third Proportional to 66,507.01 and 136,121.53

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Solution

The third proportional to 66,507.01 and 136,121.53 is: 278,603.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,507.01 : 136,121.53 = 136,121.53 : x
  2. Step 2: Convert to fraction form
    66,507.01/136,121.53 = 136,121.53/x
  3. Step 3: Cross multiply
    66,507.01x = 136,121.53 × 136,121.53
  4. Step 4: Simplify right side
    66,507.01x = 18,529,070,472.26
  5. Step 5: Solve for x
    x = 18,529,070,472.26/66,507.01
  6. Step 6: Final answer
    x = 278,603.26

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.