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Finding the Third Proportional to 58,273.50 and 125,043

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Solution

The third proportional to 58,273.50 and 125,043 is: 268,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,273.50 : 125,043 = 125,043 : x
  2. Step 2: Convert to fraction form
    58,273.50/125,043 = 125,043/x
  3. Step 3: Cross multiply
    58,273.50x = 125,043 × 125,043
  4. Step 4: Simplify right side
    58,273.50x = 15,635,751,849
  5. Step 5: Solve for x
    x = 15,635,751,849/58,273.50
  6. Step 6: Final answer
    x = 268,316.68

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