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Finding the Third Proportional to 67,520 and 104,808

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Solution

The third proportional to 67,520 and 104,808 is: 162,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,520 : 104,808 = 104,808 : x
  2. Step 2: Convert to fraction form
    67,520/104,808 = 104,808/x
  3. Step 3: Cross multiply
    67,520x = 104,808 × 104,808
  4. Step 4: Simplify right side
    67,520x = 10,984,716,864
  5. Step 5: Solve for x
    x = 10,984,716,864/67,520
  6. Step 6: Final answer
    x = 162,688.34

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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.