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Finding the Third Proportional to 58,684 and 128,122

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Solution

The third proportional to 58,684 and 128,122 is: 279,722.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,684 : 128,122 = 128,122 : x
  2. Step 2: Convert to fraction form
    58,684/128,122 = 128,122/x
  3. Step 3: Cross multiply
    58,684x = 128,122 × 128,122
  4. Step 4: Simplify right side
    58,684x = 16,415,246,884
  5. Step 5: Solve for x
    x = 16,415,246,884/58,684
  6. Step 6: Final answer
    x = 279,722.70

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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.