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Finding the Third Proportional to 70,816 and 104,600

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Solution

The third proportional to 70,816 and 104,600 is: 154,501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,816 : 104,600 = 104,600 : x
  2. Step 2: Convert to fraction form
    70,816/104,600 = 104,600/x
  3. Step 3: Cross multiply
    70,816x = 104,600 × 104,600
  4. Step 4: Simplify right side
    70,816x = 10,941,160,000
  5. Step 5: Solve for x
    x = 10,941,160,000/70,816
  6. Step 6: Final answer
    x = 154,501.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.