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Finding the Third Proportional to 109,964 and 245,112

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Solution

The third proportional to 109,964 and 245,112 is: 546,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,964 : 245,112 = 245,112 : x
  2. Step 2: Convert to fraction form
    109,964/245,112 = 245,112/x
  3. Step 3: Cross multiply
    109,964x = 245,112 × 245,112
  4. Step 4: Simplify right side
    109,964x = 60,079,892,544
  5. Step 5: Solve for x
    x = 60,079,892,544/109,964
  6. Step 6: Final answer
    x = 546,359.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.