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Finding the Third Proportional to 108,652.50 and 168,099

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Solution

The third proportional to 108,652.50 and 168,099 is: 260,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,652.50 : 168,099 = 168,099 : x
  2. Step 2: Convert to fraction form
    108,652.50/168,099 = 168,099/x
  3. Step 3: Cross multiply
    108,652.50x = 168,099 × 168,099
  4. Step 4: Simplify right side
    108,652.50x = 28,257,273,801
  5. Step 5: Solve for x
    x = 28,257,273,801/108,652.50
  6. Step 6: Final answer
    x = 260,070.17

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Why These Related Problems?

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