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Finding the Third Proportional to 74,194.75 and 174,970.25

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Solution

The third proportional to 74,194.75 and 174,970.25 is: 412,624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,194.75 : 174,970.25 = 174,970.25 : x
  2. Step 2: Convert to fraction form
    74,194.75/174,970.25 = 174,970.25/x
  3. Step 3: Cross multiply
    74,194.75x = 174,970.25 × 174,970.25
  4. Step 4: Simplify right side
    74,194.75x = 30,614,588,385.06
  5. Step 5: Solve for x
    x = 30,614,588,385.06/74,194.75
  6. Step 6: Final answer
    x = 412,624.73

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.