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Finding the Third Proportional to 69,097 and 146,498

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Solution

The third proportional to 69,097 and 146,498 is: 310,601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,097 : 146,498 = 146,498 : x
  2. Step 2: Convert to fraction form
    69,097/146,498 = 146,498/x
  3. Step 3: Cross multiply
    69,097x = 146,498 × 146,498
  4. Step 4: Simplify right side
    69,097x = 21,461,664,004
  5. Step 5: Solve for x
    x = 21,461,664,004/69,097
  6. Step 6: Final answer
    x = 310,601.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.