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Finding the Third Proportional to 73,117 and 157,116

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Solution

The third proportional to 73,117 and 157,116 is: 337,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,117 : 157,116 = 157,116 : x
  2. Step 2: Convert to fraction form
    73,117/157,116 = 157,116/x
  3. Step 3: Cross multiply
    73,117x = 157,116 × 157,116
  4. Step 4: Simplify right side
    73,117x = 24,685,437,456
  5. Step 5: Solve for x
    x = 24,685,437,456/73,117
  6. Step 6: Final answer
    x = 337,615.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.