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Finding the Third Proportional to 103,896 and 156,546

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Solution

The third proportional to 103,896 and 156,546 is: 235,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,896 : 156,546 = 156,546 : x
  2. Step 2: Convert to fraction form
    103,896/156,546 = 156,546/x
  3. Step 3: Cross multiply
    103,896x = 156,546 × 156,546
  4. Step 4: Simplify right side
    103,896x = 24,506,650,116
  5. Step 5: Solve for x
    x = 24,506,650,116/103,896
  6. Step 6: Final answer
    x = 235,876.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.