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Finding the Third Proportional to 122,267.25 and 259,254

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Solution

The third proportional to 122,267.25 and 259,254 is: 549,719.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,267.25 : 259,254 = 259,254 : x
  2. Step 2: Convert to fraction form
    122,267.25/259,254 = 259,254/x
  3. Step 3: Cross multiply
    122,267.25x = 259,254 × 259,254
  4. Step 4: Simplify right side
    122,267.25x = 67,212,636,516
  5. Step 5: Solve for x
    x = 67,212,636,516/122,267.25
  6. Step 6: Final answer
    x = 549,719.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.