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Finding the Third Proportional to 40,907 and 88,258

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Solution

The third proportional to 40,907 and 88,258 is: 190,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,907 : 88,258 = 88,258 : x
  2. Step 2: Convert to fraction form
    40,907/88,258 = 88,258/x
  3. Step 3: Cross multiply
    40,907x = 88,258 × 88,258
  4. Step 4: Simplify right side
    40,907x = 7,789,474,564
  5. Step 5: Solve for x
    x = 7,789,474,564/40,907
  6. Step 6: Final answer
    x = 190,419.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.