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Finding the Third Proportional to 105,007.50 and 168,445.13

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Solution

The third proportional to 105,007.50 and 168,445.13 is: 270,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,007.50 : 168,445.13 = 168,445.13 : x
  2. Step 2: Convert to fraction form
    105,007.50/168,445.13 = 168,445.13/x
  3. Step 3: Cross multiply
    105,007.50x = 168,445.13 × 168,445.13
  4. Step 4: Simplify right side
    105,007.50x = 28,373,760,136.27
  5. Step 5: Solve for x
    x = 28,373,760,136.27/105,007.50
  6. Step 6: Final answer
    x = 270,206.99

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.