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Finding the Third Proportional to 58,344 and 127,985

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Solution

The third proportional to 58,344 and 127,985 is: 280,751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,344 : 127,985 = 127,985 : x
  2. Step 2: Convert to fraction form
    58,344/127,985 = 127,985/x
  3. Step 3: Cross multiply
    58,344x = 127,985 × 127,985
  4. Step 4: Simplify right side
    58,344x = 16,380,160,225
  5. Step 5: Solve for x
    x = 16,380,160,225/58,344
  6. Step 6: Final answer
    x = 280,751.41

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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.