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Finding the Third Proportional to 46,214 and 71,529

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Solution

The third proportional to 46,214 and 71,529 is: 110,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,214 : 71,529 = 71,529 : x
  2. Step 2: Convert to fraction form
    46,214/71,529 = 71,529/x
  3. Step 3: Cross multiply
    46,214x = 71,529 × 71,529
  4. Step 4: Simplify right side
    46,214x = 5,116,397,841
  5. Step 5: Solve for x
    x = 5,116,397,841/46,214
  6. Step 6: Final answer
    x = 110,710.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.