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Finding the Third Proportional to 94,707 and 157,825

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Solution

The third proportional to 94,707 and 157,825 is: 263,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,707 : 157,825 = 157,825 : x
  2. Step 2: Convert to fraction form
    94,707/157,825 = 157,825/x
  3. Step 3: Cross multiply
    94,707x = 157,825 × 157,825
  4. Step 4: Simplify right side
    94,707x = 24,908,730,625
  5. Step 5: Solve for x
    x = 24,908,730,625/94,707
  6. Step 6: Final answer
    x = 263,008.34

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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.