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Finding the Third Proportional to 51,462 and 77,316.75

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Solution

The third proportional to 51,462 and 77,316.75 is: 116,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,462 : 77,316.75 = 77,316.75 : x
  2. Step 2: Convert to fraction form
    51,462/77,316.75 = 77,316.75/x
  3. Step 3: Cross multiply
    51,462x = 77,316.75 × 77,316.75
  4. Step 4: Simplify right side
    51,462x = 5,977,879,830.56
  5. Step 5: Solve for x
    x = 5,977,879,830.56/51,462
  6. Step 6: Final answer
    x = 116,161.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.