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Finding the Third Proportional to 48,117 and 69,311

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Solution

The third proportional to 48,117 and 69,311 is: 99,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,117 : 69,311 = 69,311 : x
  2. Step 2: Convert to fraction form
    48,117/69,311 = 69,311/x
  3. Step 3: Cross multiply
    48,117x = 69,311 × 69,311
  4. Step 4: Simplify right side
    48,117x = 4,804,014,721
  5. Step 5: Solve for x
    x = 4,804,014,721/48,117
  6. Step 6: Final answer
    x = 99,840.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.