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Finding the Third Proportional to 53,356.50 and 118,012.50

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Solution

The third proportional to 53,356.50 and 118,012.50 is: 261,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,356.50 : 118,012.50 = 118,012.50 : x
  2. Step 2: Convert to fraction form
    53,356.50/118,012.50 = 118,012.50/x
  3. Step 3: Cross multiply
    53,356.50x = 118,012.50 × 118,012.50
  4. Step 4: Simplify right side
    53,356.50x = 13,926,950,156.25
  5. Step 5: Solve for x
    x = 13,926,950,156.25/53,356.50
  6. Step 6: Final answer
    x = 261,016.94

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.