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Finding the Third Proportional to 72,835 and 109,921

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Solution

The third proportional to 72,835 and 109,921 is: 165,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,835 : 109,921 = 109,921 : x
  2. Step 2: Convert to fraction form
    72,835/109,921 = 109,921/x
  3. Step 3: Cross multiply
    72,835x = 109,921 × 109,921
  4. Step 4: Simplify right side
    72,835x = 12,082,626,241
  5. Step 5: Solve for x
    x = 12,082,626,241/72,835
  6. Step 6: Final answer
    x = 165,890.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.