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Finding the Third Proportional to 46,531 and 101,754

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Solution

The third proportional to 46,531 and 101,754 is: 222,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,531 : 101,754 = 101,754 : x
  2. Step 2: Convert to fraction form
    46,531/101,754 = 101,754/x
  3. Step 3: Cross multiply
    46,531x = 101,754 × 101,754
  4. Step 4: Simplify right side
    46,531x = 10,353,876,516
  5. Step 5: Solve for x
    x = 10,353,876,516/46,531
  6. Step 6: Final answer
    x = 222,515.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.