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Finding the Third Proportional to 126,502 and 190,583

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Solution

The third proportional to 126,502 and 190,583 is: 287,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,502 : 190,583 = 190,583 : x
  2. Step 2: Convert to fraction form
    126,502/190,583 = 190,583/x
  3. Step 3: Cross multiply
    126,502x = 190,583 × 190,583
  4. Step 4: Simplify right side
    126,502x = 36,321,879,889
  5. Step 5: Solve for x
    x = 36,321,879,889/126,502
  6. Step 6: Final answer
    x = 287,124.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.