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Finding the Third Proportional to 53,263 and 76,726

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Solution

The third proportional to 53,263 and 76,726 is: 110,524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,263 : 76,726 = 76,726 : x
  2. Step 2: Convert to fraction form
    53,263/76,726 = 76,726/x
  3. Step 3: Cross multiply
    53,263x = 76,726 × 76,726
  4. Step 4: Simplify right side
    53,263x = 5,886,879,076
  5. Step 5: Solve for x
    x = 5,886,879,076/53,263
  6. Step 6: Final answer
    x = 110,524.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.