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Finding the Third Proportional to 122,203.50 and 261,492

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Solution

The third proportional to 122,203.50 and 261,492 is: 559,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,203.50 : 261,492 = 261,492 : x
  2. Step 2: Convert to fraction form
    122,203.50/261,492 = 261,492/x
  3. Step 3: Cross multiply
    122,203.50x = 261,492 × 261,492
  4. Step 4: Simplify right side
    122,203.50x = 68,378,066,064
  5. Step 5: Solve for x
    x = 68,378,066,064/122,203.50
  6. Step 6: Final answer
    x = 559,542.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.