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Finding the Third Proportional to 69,784 and 104,460

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Solution

The third proportional to 69,784 and 104,460 is: 156,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,784 : 104,460 = 104,460 : x
  2. Step 2: Convert to fraction form
    69,784/104,460 = 104,460/x
  3. Step 3: Cross multiply
    69,784x = 104,460 × 104,460
  4. Step 4: Simplify right side
    69,784x = 10,911,891,600
  5. Step 5: Solve for x
    x = 10,911,891,600/69,784
  6. Step 6: Final answer
    x = 156,366.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.