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Finding the Third Proportional to 55,675 and 121,574

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Solution

The third proportional to 55,675 and 121,574 is: 265,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,675 : 121,574 = 121,574 : x
  2. Step 2: Convert to fraction form
    55,675/121,574 = 121,574/x
  3. Step 3: Cross multiply
    55,675x = 121,574 × 121,574
  4. Step 4: Simplify right side
    55,675x = 14,780,237,476
  5. Step 5: Solve for x
    x = 14,780,237,476/55,675
  6. Step 6: Final answer
    x = 265,473.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.