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Finding the Third Proportional to 59,996 and 129,226

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Solution

The third proportional to 59,996 and 129,226 is: 278,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,996 : 129,226 = 129,226 : x
  2. Step 2: Convert to fraction form
    59,996/129,226 = 129,226/x
  3. Step 3: Cross multiply
    59,996x = 129,226 × 129,226
  4. Step 4: Simplify right side
    59,996x = 16,699,359,076
  5. Step 5: Solve for x
    x = 16,699,359,076/59,996
  6. Step 6: Final answer
    x = 278,341.21

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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.