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Finding the Third Proportional to 65,367 and 72,307.69

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Solution

The third proportional to 65,367 and 72,307.69 is: 79,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,367 : 72,307.69 = 72,307.69 : x
  2. Step 2: Convert to fraction form
    65,367/72,307.69 = 72,307.69/x
  3. Step 3: Cross multiply
    65,367x = 72,307.69 × 72,307.69
  4. Step 4: Simplify right side
    65,367x = 5,228,401,671.60
  5. Step 5: Solve for x
    x = 5,228,401,671.60/65,367
  6. Step 6: Final answer
    x = 79,985.34

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.