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Finding the Third Proportional to 98,014 and 143,238

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Solution

The third proportional to 98,014 and 143,238 is: 209,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,014 : 143,238 = 143,238 : x
  2. Step 2: Convert to fraction form
    98,014/143,238 = 143,238/x
  3. Step 3: Cross multiply
    98,014x = 143,238 × 143,238
  4. Step 4: Simplify right side
    98,014x = 20,517,124,644
  5. Step 5: Solve for x
    x = 20,517,124,644/98,014
  6. Step 6: Final answer
    x = 209,328.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.