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Finding the Third Proportional to 73,242 and 156,852

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Solution

The third proportional to 73,242 and 156,852 is: 335,907.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,242 : 156,852 = 156,852 : x
  2. Step 2: Convert to fraction form
    73,242/156,852 = 156,852/x
  3. Step 3: Cross multiply
    73,242x = 156,852 × 156,852
  4. Step 4: Simplify right side
    73,242x = 24,602,549,904
  5. Step 5: Solve for x
    x = 24,602,549,904/73,242
  6. Step 6: Final answer
    x = 335,907.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.