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Finding the Third Proportional to 108,452 and 162,038

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Solution

The third proportional to 108,452 and 162,038 is: 242,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,452 : 162,038 = 162,038 : x
  2. Step 2: Convert to fraction form
    108,452/162,038 = 162,038/x
  3. Step 3: Cross multiply
    108,452x = 162,038 × 162,038
  4. Step 4: Simplify right side
    108,452x = 26,256,313,444
  5. Step 5: Solve for x
    x = 26,256,313,444/108,452
  6. Step 6: Final answer
    x = 242,100.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.