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Finding the Third Proportional to 108,727 and 235,549

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Solution

The third proportional to 108,727 and 235,549 is: 510,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,727 : 235,549 = 235,549 : x
  2. Step 2: Convert to fraction form
    108,727/235,549 = 235,549/x
  3. Step 3: Cross multiply
    108,727x = 235,549 × 235,549
  4. Step 4: Simplify right side
    108,727x = 55,483,331,401
  5. Step 5: Solve for x
    x = 55,483,331,401/108,727
  6. Step 6: Final answer
    x = 510,299.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.