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Finding the Third Proportional to 68,762.25 and 149,107.50

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Solution

The third proportional to 68,762.25 and 149,107.50 is: 323,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,762.25 : 149,107.50 = 149,107.50 : x
  2. Step 2: Convert to fraction form
    68,762.25/149,107.50 = 149,107.50/x
  3. Step 3: Cross multiply
    68,762.25x = 149,107.50 × 149,107.50
  4. Step 4: Simplify right side
    68,762.25x = 22,233,046,556.25
  5. Step 5: Solve for x
    x = 22,233,046,556.25/68,762.25
  6. Step 6: Final answer
    x = 323,332.16

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.