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Finding the Third Proportional to 103,953 and 162,014

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Solution

The third proportional to 103,953 and 162,014 is: 252,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,953 : 162,014 = 162,014 : x
  2. Step 2: Convert to fraction form
    103,953/162,014 = 162,014/x
  3. Step 3: Cross multiply
    103,953x = 162,014 × 162,014
  4. Step 4: Simplify right side
    103,953x = 26,248,536,196
  5. Step 5: Solve for x
    x = 26,248,536,196/103,953
  6. Step 6: Final answer
    x = 252,503.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.