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Finding the Third Proportional to 121,498 and 262,964

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Solution

The third proportional to 121,498 and 262,964 is: 569,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,498 : 262,964 = 262,964 : x
  2. Step 2: Convert to fraction form
    121,498/262,964 = 262,964/x
  3. Step 3: Cross multiply
    121,498x = 262,964 × 262,964
  4. Step 4: Simplify right side
    121,498x = 69,150,065,296
  5. Step 5: Solve for x
    x = 69,150,065,296/121,498
  6. Step 6: Final answer
    x = 569,145.71

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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.