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Finding the Third Proportional to 51,357.94 and 81,492.19

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Solution

The third proportional to 51,357.94 and 81,492.19 is: 129,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,357.94 : 81,492.19 = 81,492.19 : x
  2. Step 2: Convert to fraction form
    51,357.94/81,492.19 = 81,492.19/x
  3. Step 3: Cross multiply
    51,357.94x = 81,492.19 × 81,492.19
  4. Step 4: Simplify right side
    51,357.94x = 6,640,976,623.54
  5. Step 5: Solve for x
    x = 6,640,976,623.54/51,357.94
  6. Step 6: Final answer
    x = 129,307.70

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.