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Finding the Third Proportional to 73,202 and 157,996

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Solution

The third proportional to 73,202 and 157,996 is: 341,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,202 : 157,996 = 157,996 : x
  2. Step 2: Convert to fraction form
    73,202/157,996 = 157,996/x
  3. Step 3: Cross multiply
    73,202x = 157,996 × 157,996
  4. Step 4: Simplify right side
    73,202x = 24,962,736,016
  5. Step 5: Solve for x
    x = 24,962,736,016/73,202
  6. Step 6: Final answer
    x = 341,011.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.