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Finding the Third Proportional to 71,556.75 and 105,146.25

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Solution

The third proportional to 71,556.75 and 105,146.25 is: 154,503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,556.75 : 105,146.25 = 105,146.25 : x
  2. Step 2: Convert to fraction form
    71,556.75/105,146.25 = 105,146.25/x
  3. Step 3: Cross multiply
    71,556.75x = 105,146.25 × 105,146.25
  4. Step 4: Simplify right side
    71,556.75x = 11,055,733,889.06
  5. Step 5: Solve for x
    x = 11,055,733,889.06/71,556.75
  6. Step 6: Final answer
    x = 154,503.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.