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Finding the Third Proportional to 51,504 and 77,688

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Solution

The third proportional to 51,504 and 77,688 is: 117,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,504 : 77,688 = 77,688 : x
  2. Step 2: Convert to fraction form
    51,504/77,688 = 77,688/x
  3. Step 3: Cross multiply
    51,504x = 77,688 × 77,688
  4. Step 4: Simplify right side
    51,504x = 6,035,425,344
  5. Step 5: Solve for x
    x = 6,035,425,344/51,504
  6. Step 6: Final answer
    x = 117,183.62

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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.