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Finding the Third Proportional to 127,897.50 and 269,052

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Solution

The third proportional to 127,897.50 and 269,052 is: 565,992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,897.50 : 269,052 = 269,052 : x
  2. Step 2: Convert to fraction form
    127,897.50/269,052 = 269,052/x
  3. Step 3: Cross multiply
    127,897.50x = 269,052 × 269,052
  4. Step 4: Simplify right side
    127,897.50x = 72,388,978,704
  5. Step 5: Solve for x
    x = 72,388,978,704/127,897.50
  6. Step 6: Final answer
    x = 565,992.13

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.