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Finding the Third Proportional to 68,533.59 and 102,800.39

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Solution

The third proportional to 68,533.59 and 102,800.39 is: 154,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,533.59 : 102,800.39 = 102,800.39 : x
  2. Step 2: Convert to fraction form
    68,533.59/102,800.39 = 102,800.39/x
  3. Step 3: Cross multiply
    68,533.59x = 102,800.39 × 102,800.39
  4. Step 4: Simplify right side
    68,533.59x = 10,567,920,312.65
  5. Step 5: Solve for x
    x = 10,567,920,312.65/68,533.59
  6. Step 6: Final answer
    x = 154,200.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.