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Finding the Third Proportional to 58,308 and 125,112

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Solution

The third proportional to 58,308 and 125,112 is: 268,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,308 : 125,112 = 125,112 : x
  2. Step 2: Convert to fraction form
    58,308/125,112 = 125,112/x
  3. Step 3: Cross multiply
    58,308x = 125,112 × 125,112
  4. Step 4: Simplify right side
    58,308x = 15,653,012,544
  5. Step 5: Solve for x
    x = 15,653,012,544/58,308
  6. Step 6: Final answer
    x = 268,453.94

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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.