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Finding the Third Proportional to 101,021 and 156,851

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Solution

The third proportional to 101,021 and 156,851 is: 243,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,021 : 156,851 = 156,851 : x
  2. Step 2: Convert to fraction form
    101,021/156,851 = 156,851/x
  3. Step 3: Cross multiply
    101,021x = 156,851 × 156,851
  4. Step 4: Simplify right side
    101,021x = 24,602,236,201
  5. Step 5: Solve for x
    x = 24,602,236,201/101,021
  6. Step 6: Final answer
    x = 243,535.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.