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Finding the Third Proportional to 84,996 and 125,145

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Solution

The third proportional to 84,996 and 125,145 is: 184,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,996 : 125,145 = 125,145 : x
  2. Step 2: Convert to fraction form
    84,996/125,145 = 125,145/x
  3. Step 3: Cross multiply
    84,996x = 125,145 × 125,145
  4. Step 4: Simplify right side
    84,996x = 15,661,271,025
  5. Step 5: Solve for x
    x = 15,661,271,025/84,996
  6. Step 6: Final answer
    x = 184,258.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.