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Finding the Third Proportional to 71,566.88 and 152,975.25

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Solution

The third proportional to 71,566.88 and 152,975.25 is: 326,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,566.88 : 152,975.25 = 152,975.25 : x
  2. Step 2: Convert to fraction form
    71,566.88/152,975.25 = 152,975.25/x
  3. Step 3: Cross multiply
    71,566.88x = 152,975.25 × 152,975.25
  4. Step 4: Simplify right side
    71,566.88x = 23,401,427,112.56
  5. Step 5: Solve for x
    x = 23,401,427,112.56/71,566.88
  6. Step 6: Final answer
    x = 326,986.85

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.