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Finding the Third Proportional to 92,466 and 135,407

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Solution

The third proportional to 92,466 and 135,407 is: 198,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,466 : 135,407 = 135,407 : x
  2. Step 2: Convert to fraction form
    92,466/135,407 = 135,407/x
  3. Step 3: Cross multiply
    92,466x = 135,407 × 135,407
  4. Step 4: Simplify right side
    92,466x = 18,335,055,649
  5. Step 5: Solve for x
    x = 18,335,055,649/92,466
  6. Step 6: Final answer
    x = 198,289.70

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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.