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Finding the Third Proportional to 42,170.25 and 90,592.50

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Solution

The third proportional to 42,170.25 and 90,592.50 is: 194,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,170.25 : 90,592.50 = 90,592.50 : x
  2. Step 2: Convert to fraction form
    42,170.25/90,592.50 = 90,592.50/x
  3. Step 3: Cross multiply
    42,170.25x = 90,592.50 × 90,592.50
  4. Step 4: Simplify right side
    42,170.25x = 8,207,001,056.25
  5. Step 5: Solve for x
    x = 8,207,001,056.25/42,170.25
  6. Step 6: Final answer
    x = 194,615.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.