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Finding the Third Proportional to 77,071.50 and 104,611.50

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Solution

The third proportional to 77,071.50 and 104,611.50 is: 141,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,071.50 : 104,611.50 = 104,611.50 : x
  2. Step 2: Convert to fraction form
    77,071.50/104,611.50 = 104,611.50/x
  3. Step 3: Cross multiply
    77,071.50x = 104,611.50 × 104,611.50
  4. Step 4: Simplify right side
    77,071.50x = 10,943,565,932.25
  5. Step 5: Solve for x
    x = 10,943,565,932.25/77,071.50
  6. Step 6: Final answer
    x = 141,992.38

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.