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Finding the Third Proportional to 127,423.50 and 202,434.75

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Solution

The third proportional to 127,423.50 and 202,434.75 is: 321,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,423.50 : 202,434.75 = 202,434.75 : x
  2. Step 2: Convert to fraction form
    127,423.50/202,434.75 = 202,434.75/x
  3. Step 3: Cross multiply
    127,423.50x = 202,434.75 × 202,434.75
  4. Step 4: Simplify right side
    127,423.50x = 40,979,828,007.56
  5. Step 5: Solve for x
    x = 40,979,828,007.56/127,423.50
  6. Step 6: Final answer
    x = 321,603.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.