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Finding the Third Proportional to 90,841.50 and 137,902.50

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Solution

The third proportional to 90,841.50 and 137,902.50 is: 209,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,841.50 : 137,902.50 = 137,902.50 : x
  2. Step 2: Convert to fraction form
    90,841.50/137,902.50 = 137,902.50/x
  3. Step 3: Cross multiply
    90,841.50x = 137,902.50 × 137,902.50
  4. Step 4: Simplify right side
    90,841.50x = 19,017,099,506.25
  5. Step 5: Solve for x
    x = 19,017,099,506.25/90,841.50
  6. Step 6: Final answer
    x = 209,343.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.