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Finding the Third Proportional to 124,630.75 and 271,816.75

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Solution

The third proportional to 124,630.75 and 271,816.75 is: 592,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,630.75 : 271,816.75 = 271,816.75 : x
  2. Step 2: Convert to fraction form
    124,630.75/271,816.75 = 271,816.75/x
  3. Step 3: Cross multiply
    124,630.75x = 271,816.75 × 271,816.75
  4. Step 4: Simplify right side
    124,630.75x = 73,884,345,580.56
  5. Step 5: Solve for x
    x = 73,884,345,580.56/124,630.75
  6. Step 6: Final answer
    x = 592,825.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.