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Finding the Third Proportional to 37,191 and 72,511.50

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Solution

The third proportional to 37,191 and 72,511.50 is: 141,376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,191 : 72,511.50 = 72,511.50 : x
  2. Step 2: Convert to fraction form
    37,191/72,511.50 = 72,511.50/x
  3. Step 3: Cross multiply
    37,191x = 72,511.50 × 72,511.50
  4. Step 4: Simplify right side
    37,191x = 5,257,917,632.25
  5. Step 5: Solve for x
    x = 5,257,917,632.25/37,191
  6. Step 6: Final answer
    x = 141,376.08

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.