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Finding the Third Proportional to 71,773 and 157,153

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Solution

The third proportional to 71,773 and 157,153 is: 344,099.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,773 : 157,153 = 157,153 : x
  2. Step 2: Convert to fraction form
    71,773/157,153 = 157,153/x
  3. Step 3: Cross multiply
    71,773x = 157,153 × 157,153
  4. Step 4: Simplify right side
    71,773x = 24,697,065,409
  5. Step 5: Solve for x
    x = 24,697,065,409/71,773
  6. Step 6: Final answer
    x = 344,099.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.