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Finding the Third Proportional to 61,605.50 and 90,212.25

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Solution

The third proportional to 61,605.50 and 90,212.25 is: 132,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,605.50 : 90,212.25 = 90,212.25 : x
  2. Step 2: Convert to fraction form
    61,605.50/90,212.25 = 90,212.25/x
  3. Step 3: Cross multiply
    61,605.50x = 90,212.25 × 90,212.25
  4. Step 4: Simplify right side
    61,605.50x = 8,138,250,050.06
  5. Step 5: Solve for x
    x = 8,138,250,050.06/61,605.50
  6. Step 6: Final answer
    x = 132,102.65

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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.