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Finding the Third Proportional to 46,841 and 70,263

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Solution

The third proportional to 46,841 and 70,263 is: 105,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,841 : 70,263 = 70,263 : x
  2. Step 2: Convert to fraction form
    46,841/70,263 = 70,263/x
  3. Step 3: Cross multiply
    46,841x = 70,263 × 70,263
  4. Step 4: Simplify right side
    46,841x = 4,936,889,169
  5. Step 5: Solve for x
    x = 4,936,889,169/46,841
  6. Step 6: Final answer
    x = 105,396.75

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