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Finding the Third Proportional to 72,313.56 and 157,065.44

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Solution

The third proportional to 72,313.56 and 157,065.44 is: 341,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,313.56 : 157,065.44 = 157,065.44 : x
  2. Step 2: Convert to fraction form
    72,313.56/157,065.44 = 157,065.44/x
  3. Step 3: Cross multiply
    72,313.56x = 157,065.44 × 157,065.44
  4. Step 4: Simplify right side
    72,313.56x = 24,669,551,657.07
  5. Step 5: Solve for x
    x = 24,669,551,657.07/72,313.56
  6. Step 6: Final answer
    x = 341,146.96

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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.