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Finding the Third Proportional to 127,896.75 and 213,148.13

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Solution

The third proportional to 127,896.75 and 213,148.13 is: 355,225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,896.75 : 213,148.13 = 213,148.13 : x
  2. Step 2: Convert to fraction form
    127,896.75/213,148.13 = 213,148.13/x
  3. Step 3: Cross multiply
    127,896.75x = 213,148.13 × 213,148.13
  4. Step 4: Simplify right side
    127,896.75x = 45,432,123,191.02
  5. Step 5: Solve for x
    x = 45,432,123,191.02/127,896.75
  6. Step 6: Final answer
    x = 355,225.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.