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Finding the Third Proportional to 59,992 and 130,340

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Solution

The third proportional to 59,992 and 130,340 is: 283,179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,992 : 130,340 = 130,340 : x
  2. Step 2: Convert to fraction form
    59,992/130,340 = 130,340/x
  3. Step 3: Cross multiply
    59,992x = 130,340 × 130,340
  4. Step 4: Simplify right side
    59,992x = 16,988,515,600
  5. Step 5: Solve for x
    x = 16,988,515,600/59,992
  6. Step 6: Final answer
    x = 283,179.68

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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.