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Finding the Third Proportional to 68,857.25 and 145,984.25

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Solution

The third proportional to 68,857.25 and 145,984.25 is: 309,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,857.25 : 145,984.25 = 145,984.25 : x
  2. Step 2: Convert to fraction form
    68,857.25/145,984.25 = 145,984.25/x
  3. Step 3: Cross multiply
    68,857.25x = 145,984.25 × 145,984.25
  4. Step 4: Simplify right side
    68,857.25x = 21,311,401,248.06
  5. Step 5: Solve for x
    x = 21,311,401,248.06/68,857.25
  6. Step 6: Final answer
    x = 309,501.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.