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Finding the Third Proportional to 89,254 and 138,202

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Solution

The third proportional to 89,254 and 138,202 is: 213,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,254 : 138,202 = 138,202 : x
  2. Step 2: Convert to fraction form
    89,254/138,202 = 138,202/x
  3. Step 3: Cross multiply
    89,254x = 138,202 × 138,202
  4. Step 4: Simplify right side
    89,254x = 19,099,792,804
  5. Step 5: Solve for x
    x = 19,099,792,804/89,254
  6. Step 6: Final answer
    x = 213,993.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.