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Finding the Third Proportional to 72,626.63 and 157,313.39

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Solution

The third proportional to 72,626.63 and 157,313.39 is: 340,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,626.63 : 157,313.39 = 157,313.39 : x
  2. Step 2: Convert to fraction form
    72,626.63/157,313.39 = 157,313.39/x
  3. Step 3: Cross multiply
    72,626.63x = 157,313.39 × 157,313.39
  4. Step 4: Simplify right side
    72,626.63x = 24,747,502,869.93
  5. Step 5: Solve for x
    x = 24,747,502,869.93/72,626.63
  6. Step 6: Final answer
    x = 340,749.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.