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Finding the Third Proportional to 92,149 and 135,178

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Solution

The third proportional to 92,149 and 135,178 is: 198,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,149 : 135,178 = 135,178 : x
  2. Step 2: Convert to fraction form
    92,149/135,178 = 135,178/x
  3. Step 3: Cross multiply
    92,149x = 135,178 × 135,178
  4. Step 4: Simplify right side
    92,149x = 18,273,091,684
  5. Step 5: Solve for x
    x = 18,273,091,684/92,149
  6. Step 6: Final answer
    x = 198,299.40

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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.