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Finding the Third Proportional to 42,153.75 and 91,743.50

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Solution

The third proportional to 42,153.75 and 91,743.50 is: 199,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,153.75 : 91,743.50 = 91,743.50 : x
  2. Step 2: Convert to fraction form
    42,153.75/91,743.50 = 91,743.50/x
  3. Step 3: Cross multiply
    42,153.75x = 91,743.50 × 91,743.50
  4. Step 4: Simplify right side
    42,153.75x = 8,416,869,792.25
  5. Step 5: Solve for x
    x = 8,416,869,792.25/42,153.75
  6. Step 6: Final answer
    x = 199,670.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.