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Finding the Third Proportional to 103,953 and 135,938.50

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Solution

The third proportional to 103,953 and 135,938.50 is: 177,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,953 : 135,938.50 = 135,938.50 : x
  2. Step 2: Convert to fraction form
    103,953/135,938.50 = 135,938.50/x
  3. Step 3: Cross multiply
    103,953x = 135,938.50 × 135,938.50
  4. Step 4: Simplify right side
    103,953x = 18,479,275,782.25
  5. Step 5: Solve for x
    x = 18,479,275,782.25/103,953
  6. Step 6: Final answer
    x = 177,765.68

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.