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Finding the Third Proportional to 31,097.25 and 67,054.50

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Solution

The third proportional to 31,097.25 and 67,054.50 is: 144,588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.25 : 67,054.50 = 67,054.50 : x
  2. Step 2: Convert to fraction form
    31,097.25/67,054.50 = 67,054.50/x
  3. Step 3: Cross multiply
    31,097.25x = 67,054.50 × 67,054.50
  4. Step 4: Simplify right side
    31,097.25x = 4,496,305,970.25
  5. Step 5: Solve for x
    x = 4,496,305,970.25/31,097.25
  6. Step 6: Final answer
    x = 144,588.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.