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Finding the Third Proportional to 64,492.88 and 133,540.31

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Solution

The third proportional to 64,492.88 and 133,540.31 is: 276,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,492.88 : 133,540.31 = 133,540.31 : x
  2. Step 2: Convert to fraction form
    64,492.88/133,540.31 = 133,540.31/x
  3. Step 3: Cross multiply
    64,492.88x = 133,540.31 × 133,540.31
  4. Step 4: Simplify right side
    64,492.88x = 17,833,015,062.60
  5. Step 5: Solve for x
    x = 17,833,015,062.60/64,492.88
  6. Step 6: Final answer
    x = 276,511.40

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.