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Finding the Third Proportional to 114,764 and 247,104

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Solution

The third proportional to 114,764 and 247,104 is: 532,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,764 : 247,104 = 247,104 : x
  2. Step 2: Convert to fraction form
    114,764/247,104 = 247,104/x
  3. Step 3: Cross multiply
    114,764x = 247,104 × 247,104
  4. Step 4: Simplify right side
    114,764x = 61,060,386,816
  5. Step 5: Solve for x
    x = 61,060,386,816/114,764
  6. Step 6: Final answer
    x = 532,051.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.