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Finding the Third Proportional to 124,527.75 and 275,220

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Solution

The third proportional to 124,527.75 and 275,220 is: 608,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,527.75 : 275,220 = 275,220 : x
  2. Step 2: Convert to fraction form
    124,527.75/275,220 = 275,220/x
  3. Step 3: Cross multiply
    124,527.75x = 275,220 × 275,220
  4. Step 4: Simplify right side
    124,527.75x = 75,746,048,400
  5. Step 5: Solve for x
    x = 75,746,048,400/124,527.75
  6. Step 6: Final answer
    x = 608,266.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.