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Finding the Third Proportional to 108,726 and 162,583

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Solution

The third proportional to 108,726 and 162,583 is: 243,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,726 : 162,583 = 162,583 : x
  2. Step 2: Convert to fraction form
    108,726/162,583 = 162,583/x
  3. Step 3: Cross multiply
    108,726x = 162,583 × 162,583
  4. Step 4: Simplify right side
    108,726x = 26,433,231,889
  5. Step 5: Solve for x
    x = 26,433,231,889/108,726
  6. Step 6: Final answer
    x = 243,117.85

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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.