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Finding the Third Proportional to 53,206.88 and 70,996.50

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Solution

The third proportional to 53,206.88 and 70,996.50 is: 94,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,206.88 : 70,996.50 = 70,996.50 : x
  2. Step 2: Convert to fraction form
    53,206.88/70,996.50 = 70,996.50/x
  3. Step 3: Cross multiply
    53,206.88x = 70,996.50 × 70,996.50
  4. Step 4: Simplify right side
    53,206.88x = 5,040,503,012.25
  5. Step 5: Solve for x
    x = 5,040,503,012.25/53,206.88
  6. Step 6: Final answer
    x = 94,734.05

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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.