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Finding the Third Proportional to 126,652.50 and 197,646.75

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Solution

The third proportional to 126,652.50 and 197,646.75 is: 308,436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,652.50 : 197,646.75 = 197,646.75 : x
  2. Step 2: Convert to fraction form
    126,652.50/197,646.75 = 197,646.75/x
  3. Step 3: Cross multiply
    126,652.50x = 197,646.75 × 197,646.75
  4. Step 4: Simplify right side
    126,652.50x = 39,064,237,785.56
  5. Step 5: Solve for x
    x = 39,064,237,785.56/126,652.50
  6. Step 6: Final answer
    x = 308,436.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.