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Finding the Third Proportional to 71,134 and 148,844

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Solution

The third proportional to 71,134 and 148,844 is: 311,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,134 : 148,844 = 148,844 : x
  2. Step 2: Convert to fraction form
    71,134/148,844 = 148,844/x
  3. Step 3: Cross multiply
    71,134x = 148,844 × 148,844
  4. Step 4: Simplify right side
    71,134x = 22,154,536,336
  5. Step 5: Solve for x
    x = 22,154,536,336/71,134
  6. Step 6: Final answer
    x = 311,447.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.