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Finding the Third Proportional to 92,970 and 135,549

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Solution

The third proportional to 92,970 and 135,549 is: 197,628.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,970 : 135,549 = 135,549 : x
  2. Step 2: Convert to fraction form
    92,970/135,549 = 135,549/x
  3. Step 3: Cross multiply
    92,970x = 135,549 × 135,549
  4. Step 4: Simplify right side
    92,970x = 18,373,531,401
  5. Step 5: Solve for x
    x = 18,373,531,401/92,970
  6. Step 6: Final answer
    x = 197,628.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.