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Finding the Third Proportional to 102,008 and 149,097

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Solution

The third proportional to 102,008 and 149,097 is: 217,923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,008 : 149,097 = 149,097 : x
  2. Step 2: Convert to fraction form
    102,008/149,097 = 149,097/x
  3. Step 3: Cross multiply
    102,008x = 149,097 × 149,097
  4. Step 4: Simplify right side
    102,008x = 22,229,915,409
  5. Step 5: Solve for x
    x = 22,229,915,409/102,008
  6. Step 6: Final answer
    x = 217,923.26

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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.