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Finding the Third Proportional to 90,548.25 and 137,328

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Solution

The third proportional to 90,548.25 and 137,328 is: 208,275.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,548.25 : 137,328 = 137,328 : x
  2. Step 2: Convert to fraction form
    90,548.25/137,328 = 137,328/x
  3. Step 3: Cross multiply
    90,548.25x = 137,328 × 137,328
  4. Step 4: Simplify right side
    90,548.25x = 18,858,979,584
  5. Step 5: Solve for x
    x = 18,858,979,584/90,548.25
  6. Step 6: Final answer
    x = 208,275.47

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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.