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Finding the Third Proportional to 68,110 and 102,258

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Solution

The third proportional to 68,110 and 102,258 is: 153,526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,110 : 102,258 = 102,258 : x
  2. Step 2: Convert to fraction form
    68,110/102,258 = 102,258/x
  3. Step 3: Cross multiply
    68,110x = 102,258 × 102,258
  4. Step 4: Simplify right side
    68,110x = 10,456,698,564
  5. Step 5: Solve for x
    x = 10,456,698,564/68,110
  6. Step 6: Final answer
    x = 153,526.63

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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.