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Finding the Third Proportional to 48,773 and 71,301

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Solution

The third proportional to 48,773 and 71,301 is: 104,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,773 : 71,301 = 71,301 : x
  2. Step 2: Convert to fraction form
    48,773/71,301 = 71,301/x
  3. Step 3: Cross multiply
    48,773x = 71,301 × 71,301
  4. Step 4: Simplify right side
    48,773x = 5,083,832,601
  5. Step 5: Solve for x
    x = 5,083,832,601/48,773
  6. Step 6: Final answer
    x = 104,234.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.