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Finding the Third Proportional to 59,984 and 129,184

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Solution

The third proportional to 59,984 and 129,184 is: 278,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,984 : 129,184 = 129,184 : x
  2. Step 2: Convert to fraction form
    59,984/129,184 = 129,184/x
  3. Step 3: Cross multiply
    59,984x = 129,184 × 129,184
  4. Step 4: Simplify right side
    59,984x = 16,688,505,856
  5. Step 5: Solve for x
    x = 16,688,505,856/59,984
  6. Step 6: Final answer
    x = 278,215.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.