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Finding the Third Proportional to 62,784.25 and 148,180.31

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Solution

The third proportional to 62,784.25 and 148,180.31 is: 349,727.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,784.25 : 148,180.31 = 148,180.31 : x
  2. Step 2: Convert to fraction form
    62,784.25/148,180.31 = 148,180.31/x
  3. Step 3: Cross multiply
    62,784.25x = 148,180.31 × 148,180.31
  4. Step 4: Simplify right side
    62,784.25x = 21,957,405,012.60
  5. Step 5: Solve for x
    x = 21,957,405,012.60/62,784.25
  6. Step 6: Final answer
    x = 349,727.92

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.