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Finding the Third Proportional to 94,713.75 and 157,835.25

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Solution

The third proportional to 94,713.75 and 157,835.25 is: 263,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,713.75 : 157,835.25 = 157,835.25 : x
  2. Step 2: Convert to fraction form
    94,713.75/157,835.25 = 157,835.25/x
  3. Step 3: Cross multiply
    94,713.75x = 157,835.25 × 157,835.25
  4. Step 4: Simplify right side
    94,713.75x = 24,911,966,142.56
  5. Step 5: Solve for x
    x = 24,911,966,142.56/94,713.75
  6. Step 6: Final answer
    x = 263,023.75

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.