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Finding the Third Proportional to 105,340.50 and 168,095.25

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Solution

The third proportional to 105,340.50 and 168,095.25 is: 268,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,340.50 : 168,095.25 = 168,095.25 : x
  2. Step 2: Convert to fraction form
    105,340.50/168,095.25 = 168,095.25/x
  3. Step 3: Cross multiply
    105,340.50x = 168,095.25 × 168,095.25
  4. Step 4: Simplify right side
    105,340.50x = 28,256,013,072.56
  5. Step 5: Solve for x
    x = 28,256,013,072.56/105,340.50
  6. Step 6: Final answer
    x = 268,235.04

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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.