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Finding the Third Proportional to 122,807.53 and 195,283.41

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Solution

The third proportional to 122,807.53 and 195,283.41 is: 310,531.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,807.53 : 195,283.41 = 195,283.41 : x
  2. Step 2: Convert to fraction form
    122,807.53/195,283.41 = 195,283.41/x
  3. Step 3: Cross multiply
    122,807.53x = 195,283.41 × 195,283.41
  4. Step 4: Simplify right side
    122,807.53x = 38,135,608,756.60
  5. Step 5: Solve for x
    x = 38,135,608,756.60/122,807.53
  6. Step 6: Final answer
    x = 310,531.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.