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Finding the Third Proportional to 125,976 and 190,963.50

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Solution

The third proportional to 125,976 and 190,963.50 is: 289,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,976 : 190,963.50 = 190,963.50 : x
  2. Step 2: Convert to fraction form
    125,976/190,963.50 = 190,963.50/x
  3. Step 3: Cross multiply
    125,976x = 190,963.50 × 190,963.50
  4. Step 4: Simplify right side
    125,976x = 36,467,058,332.25
  5. Step 5: Solve for x
    x = 36,467,058,332.25/125,976
  6. Step 6: Final answer
    x = 289,476.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.