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Finding the Third Proportional to 68,117.63 and 143,670.38

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Solution

The third proportional to 68,117.63 and 143,670.38 is: 303,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,117.63 : 143,670.38 = 143,670.38 : x
  2. Step 2: Convert to fraction form
    68,117.63/143,670.38 = 143,670.38/x
  3. Step 3: Cross multiply
    68,117.63x = 143,670.38 × 143,670.38
  4. Step 4: Simplify right side
    68,117.63x = 20,641,176,652.64
  5. Step 5: Solve for x
    x = 20,641,176,652.64/68,117.63
  6. Step 6: Final answer
    x = 303,022.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.