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Finding the Third Proportional to 98,713 and 148,958

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Solution

The third proportional to 98,713 and 148,958 is: 224,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,713 : 148,958 = 148,958 : x
  2. Step 2: Convert to fraction form
    98,713/148,958 = 148,958/x
  3. Step 3: Cross multiply
    98,713x = 148,958 × 148,958
  4. Step 4: Simplify right side
    98,713x = 22,188,485,764
  5. Step 5: Solve for x
    x = 22,188,485,764/98,713
  6. Step 6: Final answer
    x = 224,777.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.