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Finding the Third Proportional to 92,034 and 135,018

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Solution

The third proportional to 92,034 and 135,018 is: 198,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,034 : 135,018 = 135,018 : x
  2. Step 2: Convert to fraction form
    92,034/135,018 = 135,018/x
  3. Step 3: Cross multiply
    92,034x = 135,018 × 135,018
  4. Step 4: Simplify right side
    92,034x = 18,229,860,324
  5. Step 5: Solve for x
    x = 18,229,860,324/92,034
  6. Step 6: Final answer
    x = 198,077.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.