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Finding the Third Proportional to 68,566.50 and 102,849.75

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Solution

The third proportional to 68,566.50 and 102,849.75 is: 154,274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,566.50 : 102,849.75 = 102,849.75 : x
  2. Step 2: Convert to fraction form
    68,566.50/102,849.75 = 102,849.75/x
  3. Step 3: Cross multiply
    68,566.50x = 102,849.75 × 102,849.75
  4. Step 4: Simplify right side
    68,566.50x = 10,578,071,075.06
  5. Step 5: Solve for x
    x = 10,578,071,075.06/68,566.50
  6. Step 6: Final answer
    x = 154,274.63

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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.