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Finding the Third Proportional to 108,736 and 162,598

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Solution

The third proportional to 108,736 and 162,598 is: 243,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,736 : 162,598 = 162,598 : x
  2. Step 2: Convert to fraction form
    108,736/162,598 = 162,598/x
  3. Step 3: Cross multiply
    108,736x = 162,598 × 162,598
  4. Step 4: Simplify right side
    108,736x = 26,438,109,604
  5. Step 5: Solve for x
    x = 26,438,109,604/108,736
  6. Step 6: Final answer
    x = 243,140.35

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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.