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Finding the Third Proportional to 113,762 and 156,819

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Solution

The third proportional to 113,762 and 156,819 is: 216,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,762 : 156,819 = 156,819 : x
  2. Step 2: Convert to fraction form
    113,762/156,819 = 156,819/x
  3. Step 3: Cross multiply
    113,762x = 156,819 × 156,819
  4. Step 4: Simplify right side
    113,762x = 24,592,198,761
  5. Step 5: Solve for x
    x = 24,592,198,761/113,762
  6. Step 6: Final answer
    x = 216,172.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.