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Finding the Third Proportional to 58,538 and 128,226

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Solution

The third proportional to 58,538 and 128,226 is: 280,875.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,538 : 128,226 = 128,226 : x
  2. Step 2: Convert to fraction form
    58,538/128,226 = 128,226/x
  3. Step 3: Cross multiply
    58,538x = 128,226 × 128,226
  4. Step 4: Simplify right side
    58,538x = 16,441,907,076
  5. Step 5: Solve for x
    x = 16,441,907,076/58,538
  6. Step 6: Final answer
    x = 280,875.79

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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.