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Finding the Third Proportional to 137,777.63 and 195,009

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Solution

The third proportional to 137,777.63 and 195,009 is: 276,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,777.63 : 195,009 = 195,009 : x
  2. Step 2: Convert to fraction form
    137,777.63/195,009 = 195,009/x
  3. Step 3: Cross multiply
    137,777.63x = 195,009 × 195,009
  4. Step 4: Simplify right side
    137,777.63x = 38,028,510,081
  5. Step 5: Solve for x
    x = 38,028,510,081/137,777.63
  6. Step 6: Final answer
    x = 276,013.69

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.