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Finding the Third Proportional to 45,716 and 68,574

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Solution

The third proportional to 45,716 and 68,574 is: 102,861

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,716 : 68,574 = 68,574 : x
  2. Step 2: Convert to fraction form
    45,716/68,574 = 68,574/x
  3. Step 3: Cross multiply
    45,716x = 68,574 × 68,574
  4. Step 4: Simplify right side
    45,716x = 4,702,393,476
  5. Step 5: Solve for x
    x = 4,702,393,476/45,716
  6. Step 6: Final answer
    x = 102,861

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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.