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Finding the Third Proportional to 58,625 and 128,281

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Solution

The third proportional to 58,625 and 128,281 is: 280,699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,625 : 128,281 = 128,281 : x
  2. Step 2: Convert to fraction form
    58,625/128,281 = 128,281/x
  3. Step 3: Cross multiply
    58,625x = 128,281 × 128,281
  4. Step 4: Simplify right side
    58,625x = 16,456,014,961
  5. Step 5: Solve for x
    x = 16,456,014,961/58,625
  6. Step 6: Final answer
    x = 280,699.62

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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.