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Finding the Third Proportional to 100,958 and 156,763

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Solution

The third proportional to 100,958 and 156,763 is: 243,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,958 : 156,763 = 156,763 : x
  2. Step 2: Convert to fraction form
    100,958/156,763 = 156,763/x
  3. Step 3: Cross multiply
    100,958x = 156,763 × 156,763
  4. Step 4: Simplify right side
    100,958x = 24,574,638,169
  5. Step 5: Solve for x
    x = 24,574,638,169/100,958
  6. Step 6: Final answer
    x = 243,414.47

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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.