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Finding the Third Proportional to 127,663 and 202,055

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Solution

The third proportional to 127,663 and 202,055 is: 319,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,663 : 202,055 = 202,055 : x
  2. Step 2: Convert to fraction form
    127,663/202,055 = 202,055/x
  3. Step 3: Cross multiply
    127,663x = 202,055 × 202,055
  4. Step 4: Simplify right side
    127,663x = 40,826,223,025
  5. Step 5: Solve for x
    x = 40,826,223,025/127,663
  6. Step 6: Final answer
    x = 319,796.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.