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Finding the Third Proportional to 56,574 and 121,914

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Solution

The third proportional to 56,574 and 121,914 is: 262,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,574 : 121,914 = 121,914 : x
  2. Step 2: Convert to fraction form
    56,574/121,914 = 121,914/x
  3. Step 3: Cross multiply
    56,574x = 121,914 × 121,914
  4. Step 4: Simplify right side
    56,574x = 14,863,023,396
  5. Step 5: Solve for x
    x = 14,863,023,396/56,574
  6. Step 6: Final answer
    x = 262,718.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.