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Finding the Third Proportional to 57,789 and 91,696.50

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Solution

The third proportional to 57,789 and 91,696.50 is: 145,499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,789 : 91,696.50 = 91,696.50 : x
  2. Step 2: Convert to fraction form
    57,789/91,696.50 = 91,696.50/x
  3. Step 3: Cross multiply
    57,789x = 91,696.50 × 91,696.50
  4. Step 4: Simplify right side
    57,789x = 8,408,248,112.25
  5. Step 5: Solve for x
    x = 8,408,248,112.25/57,789
  6. Step 6: Final answer
    x = 145,499.11

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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.