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Finding the Third Proportional to 108,872.50 and 160,105

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Solution

The third proportional to 108,872.50 and 160,105 is: 235,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,872.50 : 160,105 = 160,105 : x
  2. Step 2: Convert to fraction form
    108,872.50/160,105 = 160,105/x
  3. Step 3: Cross multiply
    108,872.50x = 160,105 × 160,105
  4. Step 4: Simplify right side
    108,872.50x = 25,633,611,025
  5. Step 5: Solve for x
    x = 25,633,611,025/108,872.50
  6. Step 6: Final answer
    x = 235,446.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.