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Finding the Third Proportional to 125,668 and 265,880

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Solution

The third proportional to 125,668 and 265,880 is: 562,531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,668 : 265,880 = 265,880 : x
  2. Step 2: Convert to fraction form
    125,668/265,880 = 265,880/x
  3. Step 3: Cross multiply
    125,668x = 265,880 × 265,880
  4. Step 4: Simplify right side
    125,668x = 70,692,174,400
  5. Step 5: Solve for x
    x = 70,692,174,400/125,668
  6. Step 6: Final answer
    x = 562,531.23

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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.