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Finding the Third Proportional to 52,038 and 122,703

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Solution

The third proportional to 52,038 and 122,703 is: 289,327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038 : 122,703 = 122,703 : x
  2. Step 2: Convert to fraction form
    52,038/122,703 = 122,703/x
  3. Step 3: Cross multiply
    52,038x = 122,703 × 122,703
  4. Step 4: Simplify right side
    52,038x = 15,056,026,209
  5. Step 5: Solve for x
    x = 15,056,026,209/52,038
  6. Step 6: Final answer
    x = 289,327.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.