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Finding the Third Proportional to 125,616 and 256,992

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Solution

The third proportional to 125,616 and 256,992 is: 525,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,616 : 256,992 = 256,992 : x
  2. Step 2: Convert to fraction form
    125,616/256,992 = 256,992/x
  3. Step 3: Cross multiply
    125,616x = 256,992 × 256,992
  4. Step 4: Simplify right side
    125,616x = 66,044,888,064
  5. Step 5: Solve for x
    x = 66,044,888,064/125,616
  6. Step 6: Final answer
    x = 525,768.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.