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Finding the Third Proportional to 127,661 and 202,052

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Solution

The third proportional to 127,661 and 202,052 is: 319,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,661 : 202,052 = 202,052 : x
  2. Step 2: Convert to fraction form
    127,661/202,052 = 202,052/x
  3. Step 3: Cross multiply
    127,661x = 202,052 × 202,052
  4. Step 4: Simplify right side
    127,661x = 40,825,010,704
  5. Step 5: Solve for x
    x = 40,825,010,704/127,661
  6. Step 6: Final answer
    x = 319,792.35

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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.