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Finding the Third Proportional to 69,678 and 101,598

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Solution

The third proportional to 69,678 and 101,598 is: 148,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,678 : 101,598 = 101,598 : x
  2. Step 2: Convert to fraction form
    69,678/101,598 = 101,598/x
  3. Step 3: Cross multiply
    69,678x = 101,598 × 101,598
  4. Step 4: Simplify right side
    69,678x = 10,322,153,604
  5. Step 5: Solve for x
    x = 10,322,153,604/69,678
  6. Step 6: Final answer
    x = 148,140.78

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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.