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Finding the Third Proportional to 108,017 and 162,021

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Solution

The third proportional to 108,017 and 162,021 is: 243,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,017 : 162,021 = 162,021 : x
  2. Step 2: Convert to fraction form
    108,017/162,021 = 162,021/x
  3. Step 3: Cross multiply
    108,017x = 162,021 × 162,021
  4. Step 4: Simplify right side
    108,017x = 26,250,804,441
  5. Step 5: Solve for x
    x = 26,250,804,441/108,017
  6. Step 6: Final answer
    x = 243,024.75

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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.