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Finding the Third Proportional to 62,164 and 134,156

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Solution

The third proportional to 62,164 and 134,156 is: 289,521.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,164 : 134,156 = 134,156 : x
  2. Step 2: Convert to fraction form
    62,164/134,156 = 134,156/x
  3. Step 3: Cross multiply
    62,164x = 134,156 × 134,156
  4. Step 4: Simplify right side
    62,164x = 17,997,832,336
  5. Step 5: Solve for x
    x = 17,997,832,336/62,164
  6. Step 6: Final answer
    x = 289,521.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.