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Finding the Third Proportional to 92,468 and 135,410

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Solution

The third proportional to 92,468 and 135,410 is: 198,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,468 : 135,410 = 135,410 : x
  2. Step 2: Convert to fraction form
    92,468/135,410 = 135,410/x
  3. Step 3: Cross multiply
    92,468x = 135,410 × 135,410
  4. Step 4: Simplify right side
    92,468x = 18,335,868,100
  5. Step 5: Solve for x
    x = 18,335,868,100/92,468
  6. Step 6: Final answer
    x = 198,294.20

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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.