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Finding the Third Proportional to 53,953.50 and 81,679.50

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Solution

The third proportional to 53,953.50 and 81,679.50 is: 123,653.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,953.50 : 81,679.50 = 81,679.50 : x
  2. Step 2: Convert to fraction form
    53,953.50/81,679.50 = 81,679.50/x
  3. Step 3: Cross multiply
    53,953.50x = 81,679.50 × 81,679.50
  4. Step 4: Simplify right side
    53,953.50x = 6,671,540,720.25
  5. Step 5: Solve for x
    x = 6,671,540,720.25/53,953.50
  6. Step 6: Final answer
    x = 123,653.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.