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Finding the Third Proportional to 51,923 and 121,572

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Solution

The third proportional to 51,923 and 121,572 is: 284,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,923 : 121,572 = 121,572 : x
  2. Step 2: Convert to fraction form
    51,923/121,572 = 121,572/x
  3. Step 3: Cross multiply
    51,923x = 121,572 × 121,572
  4. Step 4: Simplify right side
    51,923x = 14,779,751,184
  5. Step 5: Solve for x
    x = 14,779,751,184/51,923
  6. Step 6: Final answer
    x = 284,647.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.