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Finding the Third Proportional to 134,118 and 187,953.75

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Solution

The third proportional to 134,118 and 187,953.75 is: 263,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,118 : 187,953.75 = 187,953.75 : x
  2. Step 2: Convert to fraction form
    134,118/187,953.75 = 187,953.75/x
  3. Step 3: Cross multiply
    134,118x = 187,953.75 × 187,953.75
  4. Step 4: Simplify right side
    134,118x = 35,326,612,139.06
  5. Step 5: Solve for x
    x = 35,326,612,139.06/134,118
  6. Step 6: Final answer
    x = 263,399.49

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.