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Finding the Third Proportional to 79,349 and 105,307.50

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Solution

The third proportional to 79,349 and 105,307.50 is: 139,758.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,349 : 105,307.50 = 105,307.50 : x
  2. Step 2: Convert to fraction form
    79,349/105,307.50 = 105,307.50/x
  3. Step 3: Cross multiply
    79,349x = 105,307.50 × 105,307.50
  4. Step 4: Simplify right side
    79,349x = 11,089,669,556.25
  5. Step 5: Solve for x
    x = 11,089,669,556.25/79,349
  6. Step 6: Final answer
    x = 139,758.15

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.