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Finding the Third Proportional to 68,530.13 and 102,795.38

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Solution

The third proportional to 68,530.13 and 102,795.38 is: 154,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,530.13 : 102,795.38 = 102,795.38 : x
  2. Step 2: Convert to fraction form
    68,530.13/102,795.38 = 102,795.38/x
  3. Step 3: Cross multiply
    68,530.13x = 102,795.38 × 102,795.38
  4. Step 4: Simplify right side
    68,530.13x = 10,566,889,121.39
  5. Step 5: Solve for x
    x = 10,566,889,121.39/68,530.13
  6. Step 6: Final answer
    x = 154,193.34

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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.