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Finding the Third Proportional to 58,467 and 128,022

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Solution

The third proportional to 58,467 and 128,022 is: 280,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,467 : 128,022 = 128,022 : x
  2. Step 2: Convert to fraction form
    58,467/128,022 = 128,022/x
  3. Step 3: Cross multiply
    58,467x = 128,022 × 128,022
  4. Step 4: Simplify right side
    58,467x = 16,389,632,484
  5. Step 5: Solve for x
    x = 16,389,632,484/58,467
  6. Step 6: Final answer
    x = 280,322.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.