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Finding the Third Proportional to 121,104 and 262,944

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Solution

The third proportional to 121,104 and 262,944 is: 570,910.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,104 : 262,944 = 262,944 : x
  2. Step 2: Convert to fraction form
    121,104/262,944 = 262,944/x
  3. Step 3: Cross multiply
    121,104x = 262,944 × 262,944
  4. Step 4: Simplify right side
    121,104x = 69,139,547,136
  5. Step 5: Solve for x
    x = 69,139,547,136/121,104
  6. Step 6: Final answer
    x = 570,910.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.