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Finding the Third Proportional to 127,095 and 250,999

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Solution

The third proportional to 127,095 and 250,999 is: 495,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,095 : 250,999 = 250,999 : x
  2. Step 2: Convert to fraction form
    127,095/250,999 = 250,999/x
  3. Step 3: Cross multiply
    127,095x = 250,999 × 250,999
  4. Step 4: Simplify right side
    127,095x = 63,000,498,001
  5. Step 5: Solve for x
    x = 63,000,498,001/127,095
  6. Step 6: Final answer
    x = 495,696.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.