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Finding the Third Proportional to 108,667.50 and 168,121.50

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Solution

The third proportional to 108,667.50 and 168,121.50 is: 260,103.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,667.50 : 168,121.50 = 168,121.50 : x
  2. Step 2: Convert to fraction form
    108,667.50/168,121.50 = 168,121.50/x
  3. Step 3: Cross multiply
    108,667.50x = 168,121.50 × 168,121.50
  4. Step 4: Simplify right side
    108,667.50x = 28,264,838,762.25
  5. Step 5: Solve for x
    x = 28,264,838,762.25/108,667.50
  6. Step 6: Final answer
    x = 260,103.88

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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.