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Finding the Third Proportional to 108,945 and 168,340.50

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Solution

The third proportional to 108,945 and 168,340.50 is: 260,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,945 : 168,340.50 = 168,340.50 : x
  2. Step 2: Convert to fraction form
    108,945/168,340.50 = 168,340.50/x
  3. Step 3: Cross multiply
    108,945x = 168,340.50 × 168,340.50
  4. Step 4: Simplify right side
    108,945x = 28,338,523,940.25
  5. Step 5: Solve for x
    x = 28,338,523,940.25/108,945
  6. Step 6: Final answer
    x = 260,117.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.