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Finding the Third Proportional to 103,998 and 152,097

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Solution

The third proportional to 103,998 and 152,097 is: 222,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,998 : 152,097 = 152,097 : x
  2. Step 2: Convert to fraction form
    103,998/152,097 = 152,097/x
  3. Step 3: Cross multiply
    103,998x = 152,097 × 152,097
  4. Step 4: Simplify right side
    103,998x = 23,133,497,409
  5. Step 5: Solve for x
    x = 23,133,497,409/103,998
  6. Step 6: Final answer
    x = 222,441.75

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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.