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Finding the Third Proportional to 72,246.50 and 174,046.50

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Solution

The third proportional to 72,246.50 and 174,046.50 is: 419,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,246.50 : 174,046.50 = 174,046.50 : x
  2. Step 2: Convert to fraction form
    72,246.50/174,046.50 = 174,046.50/x
  3. Step 3: Cross multiply
    72,246.50x = 174,046.50 × 174,046.50
  4. Step 4: Simplify right side
    72,246.50x = 30,292,184,162.25
  5. Step 5: Solve for x
    x = 30,292,184,162.25/72,246.50
  6. Step 6: Final answer
    x = 419,289.30

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.