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Finding the Third Proportional to 64,189.50 and 94,466.25

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Solution

The third proportional to 64,189.50 and 94,466.25 is: 139,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,189.50 : 94,466.25 = 94,466.25 : x
  2. Step 2: Convert to fraction form
    64,189.50/94,466.25 = 94,466.25/x
  3. Step 3: Cross multiply
    64,189.50x = 94,466.25 × 94,466.25
  4. Step 4: Simplify right side
    64,189.50x = 8,923,872,389.06
  5. Step 5: Solve for x
    x = 8,923,872,389.06/64,189.50
  6. Step 6: Final answer
    x = 139,023.87

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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.