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Finding the Third Proportional to 43,281 and 93,136.50

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Solution

The third proportional to 43,281 and 93,136.50 is: 200,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,281 : 93,136.50 = 93,136.50 : x
  2. Step 2: Convert to fraction form
    43,281/93,136.50 = 93,136.50/x
  3. Step 3: Cross multiply
    43,281x = 93,136.50 × 93,136.50
  4. Step 4: Simplify right side
    43,281x = 8,674,407,632.25
  5. Step 5: Solve for x
    x = 8,674,407,632.25/43,281
  6. Step 6: Final answer
    x = 200,420.68

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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.