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Finding the Third Proportional to 108,500 and 162,644

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Solution

The third proportional to 108,500 and 162,644 is: 243,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,500 : 162,644 = 162,644 : x
  2. Step 2: Convert to fraction form
    108,500/162,644 = 162,644/x
  3. Step 3: Cross multiply
    108,500x = 162,644 × 162,644
  4. Step 4: Simplify right side
    108,500x = 26,453,070,736
  5. Step 5: Solve for x
    x = 26,453,070,736/108,500
  6. Step 6: Final answer
    x = 243,807.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.