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Finding the Third Proportional to 96,786 and 235,392.75

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Solution

The third proportional to 96,786 and 235,392.75 is: 572,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,786 : 235,392.75 = 235,392.75 : x
  2. Step 2: Convert to fraction form
    96,786/235,392.75 = 235,392.75/x
  3. Step 3: Cross multiply
    96,786x = 235,392.75 × 235,392.75
  4. Step 4: Simplify right side
    96,786x = 55,409,746,752.56
  5. Step 5: Solve for x
    x = 55,409,746,752.56/96,786
  6. Step 6: Final answer
    x = 572,497.54

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.