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Finding the Third Proportional to 61,796.25 and 90,506.25

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Solution

The third proportional to 61,796.25 and 90,506.25 is: 132,554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,796.25 : 90,506.25 = 90,506.25 : x
  2. Step 2: Convert to fraction form
    61,796.25/90,506.25 = 90,506.25/x
  3. Step 3: Cross multiply
    61,796.25x = 90,506.25 × 90,506.25
  4. Step 4: Simplify right side
    61,796.25x = 8,191,381,289.06
  5. Step 5: Solve for x
    x = 8,191,381,289.06/61,796.25
  6. Step 6: Final answer
    x = 132,554.67

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.