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Finding the Third Proportional to 85,260 and 127,362.75

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Solution

The third proportional to 85,260 and 127,362.75 is: 190,256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,260 : 127,362.75 = 127,362.75 : x
  2. Step 2: Convert to fraction form
    85,260/127,362.75 = 127,362.75/x
  3. Step 3: Cross multiply
    85,260x = 127,362.75 × 127,362.75
  4. Step 4: Simplify right side
    85,260x = 16,221,270,087.56
  5. Step 5: Solve for x
    x = 16,221,270,087.56/85,260
  6. Step 6: Final answer
    x = 190,256.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.