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Finding the Third Proportional to 58,743 and 124,185

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Solution

The third proportional to 58,743 and 124,185 is: 262,531.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,743 : 124,185 = 124,185 : x
  2. Step 2: Convert to fraction form
    58,743/124,185 = 124,185/x
  3. Step 3: Cross multiply
    58,743x = 124,185 × 124,185
  4. Step 4: Simplify right side
    58,743x = 15,421,914,225
  5. Step 5: Solve for x
    x = 15,421,914,225/58,743
  6. Step 6: Final answer
    x = 262,531.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.