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Finding the Third Proportional to 121,026 and 265,944

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Solution

The third proportional to 121,026 and 265,944 is: 584,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,026 : 265,944 = 265,944 : x
  2. Step 2: Convert to fraction form
    121,026/265,944 = 265,944/x
  3. Step 3: Cross multiply
    121,026x = 265,944 × 265,944
  4. Step 4: Simplify right side
    121,026x = 70,726,211,136
  5. Step 5: Solve for x
    x = 70,726,211,136/121,026
  6. Step 6: Final answer
    x = 584,388.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.