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Finding the Third Proportional to 121,626.56 and 265,401.56

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Solution

The third proportional to 121,626.56 and 265,401.56 is: 579,133.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,626.56 : 265,401.56 = 265,401.56 : x
  2. Step 2: Convert to fraction form
    121,626.56/265,401.56 = 265,401.56/x
  3. Step 3: Cross multiply
    121,626.56x = 265,401.56 × 265,401.56
  4. Step 4: Simplify right side
    121,626.56x = 70,437,989,377.44
  5. Step 5: Solve for x
    x = 70,437,989,377.44/121,626.56
  6. Step 6: Final answer
    x = 579,133.27

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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.