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Finding the Third Proportional to 67,584 and 104,320

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Solution

The third proportional to 67,584 and 104,320 is: 161,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,584 : 104,320 = 104,320 : x
  2. Step 2: Convert to fraction form
    67,584/104,320 = 104,320/x
  3. Step 3: Cross multiply
    67,584x = 104,320 × 104,320
  4. Step 4: Simplify right side
    67,584x = 10,882,662,400
  5. Step 5: Solve for x
    x = 10,882,662,400/67,584
  6. Step 6: Final answer
    x = 161,024.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.