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Finding the Third Proportional to 58,129 and 124,188

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Solution

The third proportional to 58,129 and 124,188 is: 265,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,129 : 124,188 = 124,188 : x
  2. Step 2: Convert to fraction form
    58,129/124,188 = 124,188/x
  3. Step 3: Cross multiply
    58,129x = 124,188 × 124,188
  4. Step 4: Simplify right side
    58,129x = 15,422,659,344
  5. Step 5: Solve for x
    x = 15,422,659,344/58,129
  6. Step 6: Final answer
    x = 265,317.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.