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Finding the Third Proportional to 68,359.50 and 142,164

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Solution

The third proportional to 68,359.50 and 142,164 is: 295,651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,359.50 : 142,164 = 142,164 : x
  2. Step 2: Convert to fraction form
    68,359.50/142,164 = 142,164/x
  3. Step 3: Cross multiply
    68,359.50x = 142,164 × 142,164
  4. Step 4: Simplify right side
    68,359.50x = 20,210,602,896
  5. Step 5: Solve for x
    x = 20,210,602,896/68,359.50
  6. Step 6: Final answer
    x = 295,651.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.