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Finding the Third Proportional to 59,736 and 130,339

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Solution

The third proportional to 59,736 and 130,339 is: 284,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,736 : 130,339 = 130,339 : x
  2. Step 2: Convert to fraction form
    59,736/130,339 = 130,339/x
  3. Step 3: Cross multiply
    59,736x = 130,339 × 130,339
  4. Step 4: Simplify right side
    59,736x = 16,988,254,921
  5. Step 5: Solve for x
    x = 16,988,254,921/59,736
  6. Step 6: Final answer
    x = 284,388.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.