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Finding the Third Proportional to 58,349 and 128,002

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Solution

The third proportional to 58,349 and 128,002 is: 280,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,349 : 128,002 = 128,002 : x
  2. Step 2: Convert to fraction form
    58,349/128,002 = 128,002/x
  3. Step 3: Cross multiply
    58,349x = 128,002 × 128,002
  4. Step 4: Simplify right side
    58,349x = 16,384,512,004
  5. Step 5: Solve for x
    x = 16,384,512,004/58,349
  6. Step 6: Final answer
    x = 280,801.93

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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.