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Finding the Third Proportional to 67,706 and 104,783

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Solution

The third proportional to 67,706 and 104,783 is: 162,164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,706 : 104,783 = 104,783 : x
  2. Step 2: Convert to fraction form
    67,706/104,783 = 104,783/x
  3. Step 3: Cross multiply
    67,706x = 104,783 × 104,783
  4. Step 4: Simplify right side
    67,706x = 10,979,477,089
  5. Step 5: Solve for x
    x = 10,979,477,089/67,706
  6. Step 6: Final answer
    x = 162,164.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.