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Finding the Third Proportional to 71,141 and 148,818

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Solution

The third proportional to 71,141 and 148,818 is: 311,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,141 : 148,818 = 148,818 : x
  2. Step 2: Convert to fraction form
    71,141/148,818 = 148,818/x
  3. Step 3: Cross multiply
    71,141x = 148,818 × 148,818
  4. Step 4: Simplify right side
    71,141x = 22,146,797,124
  5. Step 5: Solve for x
    x = 22,146,797,124/71,141
  6. Step 6: Final answer
    x = 311,308.49

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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.