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Finding the Third Proportional to 134,120 and 187,956.50

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Solution

The third proportional to 134,120 and 187,956.50 is: 263,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,120 : 187,956.50 = 187,956.50 : x
  2. Step 2: Convert to fraction form
    134,120/187,956.50 = 187,956.50/x
  3. Step 3: Cross multiply
    134,120x = 187,956.50 × 187,956.50
  4. Step 4: Simplify right side
    134,120x = 35,327,645,892.25
  5. Step 5: Solve for x
    x = 35,327,645,892.25/134,120
  6. Step 6: Final answer
    x = 263,403.26

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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.