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Finding the Third Proportional to 122,512.50 and 250,209

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Solution

The third proportional to 122,512.50 and 250,209 is: 511,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,512.50 : 250,209 = 250,209 : x
  2. Step 2: Convert to fraction form
    122,512.50/250,209 = 250,209/x
  3. Step 3: Cross multiply
    122,512.50x = 250,209 × 250,209
  4. Step 4: Simplify right side
    122,512.50x = 62,604,543,681
  5. Step 5: Solve for x
    x = 62,604,543,681/122,512.50
  6. Step 6: Final answer
    x = 511,005.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.