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Finding the Third Proportional to 103,066 and 156,763

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Solution

The third proportional to 103,066 and 156,763 is: 238,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,066 : 156,763 = 156,763 : x
  2. Step 2: Convert to fraction form
    103,066/156,763 = 156,763/x
  3. Step 3: Cross multiply
    103,066x = 156,763 × 156,763
  4. Step 4: Simplify right side
    103,066x = 24,574,638,169
  5. Step 5: Solve for x
    x = 24,574,638,169/103,066
  6. Step 6: Final answer
    x = 238,435.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.