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Finding the Third Proportional to 125,201.25 and 265,302

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Solution

The third proportional to 125,201.25 and 265,302 is: 562,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,201.25 : 265,302 = 265,302 : x
  2. Step 2: Convert to fraction form
    125,201.25/265,302 = 265,302/x
  3. Step 3: Cross multiply
    125,201.25x = 265,302 × 265,302
  4. Step 4: Simplify right side
    125,201.25x = 70,385,151,204
  5. Step 5: Solve for x
    x = 70,385,151,204/125,201.25
  6. Step 6: Final answer
    x = 562,176.11

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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.