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Finding the Third Proportional to 59,984 and 130,324

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Solution

The third proportional to 59,984 and 130,324 is: 283,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,984 : 130,324 = 130,324 : x
  2. Step 2: Convert to fraction form
    59,984/130,324 = 130,324/x
  3. Step 3: Cross multiply
    59,984x = 130,324 × 130,324
  4. Step 4: Simplify right side
    59,984x = 16,984,344,976
  5. Step 5: Solve for x
    x = 16,984,344,976/59,984
  6. Step 6: Final answer
    x = 283,147.92

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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.