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Finding the Third Proportional to 107,170.50 and 235,077

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Solution

The third proportional to 107,170.50 and 235,077 is: 515,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,170.50 : 235,077 = 235,077 : x
  2. Step 2: Convert to fraction form
    107,170.50/235,077 = 235,077/x
  3. Step 3: Cross multiply
    107,170.50x = 235,077 × 235,077
  4. Step 4: Simplify right side
    107,170.50x = 55,261,195,929
  5. Step 5: Solve for x
    x = 55,261,195,929/107,170.50
  6. Step 6: Final answer
    x = 515,638.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.