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Finding the Third Proportional to 50,004 and 74,853

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Solution

The third proportional to 50,004 and 74,853 is: 112,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,004 : 74,853 = 74,853 : x
  2. Step 2: Convert to fraction form
    50,004/74,853 = 74,853/x
  3. Step 3: Cross multiply
    50,004x = 74,853 × 74,853
  4. Step 4: Simplify right side
    50,004x = 5,602,971,609
  5. Step 5: Solve for x
    x = 5,602,971,609/50,004
  6. Step 6: Final answer
    x = 112,050.47

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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.