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Finding the Third Proportional to 71,048 and 148,900

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Solution

The third proportional to 71,048 and 148,900 is: 312,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,048 : 148,900 = 148,900 : x
  2. Step 2: Convert to fraction form
    71,048/148,900 = 148,900/x
  3. Step 3: Cross multiply
    71,048x = 148,900 × 148,900
  4. Step 4: Simplify right side
    71,048x = 22,171,210,000
  5. Step 5: Solve for x
    x = 22,171,210,000/71,048
  6. Step 6: Final answer
    x = 312,059.59

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.