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Finding the Third Proportional to 58,201 and 127,580

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Solution

The third proportional to 58,201 and 127,580 is: 279,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,201 : 127,580 = 127,580 : x
  2. Step 2: Convert to fraction form
    58,201/127,580 = 127,580/x
  3. Step 3: Cross multiply
    58,201x = 127,580 × 127,580
  4. Step 4: Simplify right side
    58,201x = 16,276,656,400
  5. Step 5: Solve for x
    x = 16,276,656,400/58,201
  6. Step 6: Final answer
    x = 279,662.83

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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.