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Finding the Third Proportional to 69,600 and 129,984

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Solution

The third proportional to 69,600 and 129,984 is: 242,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,600 : 129,984 = 129,984 : x
  2. Step 2: Convert to fraction form
    69,600/129,984 = 129,984/x
  3. Step 3: Cross multiply
    69,600x = 129,984 × 129,984
  4. Step 4: Simplify right side
    69,600x = 16,895,840,256
  5. Step 5: Solve for x
    x = 16,895,840,256/69,600
  6. Step 6: Final answer
    x = 242,756.33

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.