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Finding the Third Proportional to 58,309 and 125,109

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Solution

The third proportional to 58,309 and 125,109 is: 268,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,309 : 125,109 = 125,109 : x
  2. Step 2: Convert to fraction form
    58,309/125,109 = 125,109/x
  3. Step 3: Cross multiply
    58,309x = 125,109 × 125,109
  4. Step 4: Simplify right side
    58,309x = 15,652,261,881
  5. Step 5: Solve for x
    x = 15,652,261,881/58,309
  6. Step 6: Final answer
    x = 268,436.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.