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Finding the Third Proportional to 124,491.50 and 188,219.50

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Solution

The third proportional to 124,491.50 and 188,219.50 is: 284,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,491.50 : 188,219.50 = 188,219.50 : x
  2. Step 2: Convert to fraction form
    124,491.50/188,219.50 = 188,219.50/x
  3. Step 3: Cross multiply
    124,491.50x = 188,219.50 × 188,219.50
  4. Step 4: Simplify right side
    124,491.50x = 35,426,580,180.25
  5. Step 5: Solve for x
    x = 35,426,580,180.25/124,491.50
  6. Step 6: Final answer
    x = 284,570.27

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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.