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Finding the Third Proportional to 58,903 and 127,259

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Solution

The third proportional to 58,903 and 127,259 is: 274,941.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,903 : 127,259 = 127,259 : x
  2. Step 2: Convert to fraction form
    58,903/127,259 = 127,259/x
  3. Step 3: Cross multiply
    58,903x = 127,259 × 127,259
  4. Step 4: Simplify right side
    58,903x = 16,194,853,081
  5. Step 5: Solve for x
    x = 16,194,853,081/58,903
  6. Step 6: Final answer
    x = 274,941.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.