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Finding the Third Proportional to 69,509.53 and 151,761.38

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Solution

The third proportional to 69,509.53 and 151,761.38 is: 331,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,509.53 : 151,761.38 = 151,761.38 : x
  2. Step 2: Convert to fraction form
    69,509.53/151,761.38 = 151,761.38/x
  3. Step 3: Cross multiply
    69,509.53x = 151,761.38 × 151,761.38
  4. Step 4: Simplify right side
    69,509.53x = 23,031,514,941.89
  5. Step 5: Solve for x
    x = 23,031,514,941.89/69,509.53
  6. Step 6: Final answer
    x = 331,343.26

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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.