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Finding the Third Proportional to 43,389 and 68,762.25

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Solution

The third proportional to 43,389 and 68,762.25 is: 108,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,389 : 68,762.25 = 68,762.25 : x
  2. Step 2: Convert to fraction form
    43,389/68,762.25 = 68,762.25/x
  3. Step 3: Cross multiply
    43,389x = 68,762.25 × 68,762.25
  4. Step 4: Simplify right side
    43,389x = 4,728,247,025.06
  5. Step 5: Solve for x
    x = 4,728,247,025.06/43,389
  6. Step 6: Final answer
    x = 108,973.40

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.