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Finding the Third Proportional to 50,614 and 109,574

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Solution

The third proportional to 50,614 and 109,574 is: 237,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,614 : 109,574 = 109,574 : x
  2. Step 2: Convert to fraction form
    50,614/109,574 = 109,574/x
  3. Step 3: Cross multiply
    50,614x = 109,574 × 109,574
  4. Step 4: Simplify right side
    50,614x = 12,006,461,476
  5. Step 5: Solve for x
    x = 12,006,461,476/50,614
  6. Step 6: Final answer
    x = 237,216.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.