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Finding the Third Proportional to 42,136.59 and 90,270.28

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Solution

The third proportional to 42,136.59 and 90,270.28 is: 193,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,136.59 : 90,270.28 = 90,270.28 : x
  2. Step 2: Convert to fraction form
    42,136.59/90,270.28 = 90,270.28/x
  3. Step 3: Cross multiply
    42,136.59x = 90,270.28 × 90,270.28
  4. Step 4: Simplify right side
    42,136.59x = 8,148,723,676.95
  5. Step 5: Solve for x
    x = 8,148,723,676.95/42,136.59
  6. Step 6: Final answer
    x = 193,388.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.