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Finding the Third Proportional to 98,314 and 147,958

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Solution

The third proportional to 98,314 and 147,958 is: 222,669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,314 : 147,958 = 147,958 : x
  2. Step 2: Convert to fraction form
    98,314/147,958 = 147,958/x
  3. Step 3: Cross multiply
    98,314x = 147,958 × 147,958
  4. Step 4: Simplify right side
    98,314x = 21,891,569,764
  5. Step 5: Solve for x
    x = 21,891,569,764/98,314
  6. Step 6: Final answer
    x = 222,669.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.