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Finding the Third Proportional to 59,269 and 128,714

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Solution

The third proportional to 59,269 and 128,714 is: 279,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,269 : 128,714 = 128,714 : x
  2. Step 2: Convert to fraction form
    59,269/128,714 = 128,714/x
  3. Step 3: Cross multiply
    59,269x = 128,714 × 128,714
  4. Step 4: Simplify right side
    59,269x = 16,567,293,796
  5. Step 5: Solve for x
    x = 16,567,293,796/59,269
  6. Step 6: Final answer
    x = 279,527.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.