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Finding the Third Proportional to 134,718.75 and 187,315.50

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Solution

The third proportional to 134,718.75 and 187,315.50 is: 260,447.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,718.75 : 187,315.50 = 187,315.50 : x
  2. Step 2: Convert to fraction form
    134,718.75/187,315.50 = 187,315.50/x
  3. Step 3: Cross multiply
    134,718.75x = 187,315.50 × 187,315.50
  4. Step 4: Simplify right side
    134,718.75x = 35,087,096,540.25
  5. Step 5: Solve for x
    x = 35,087,096,540.25/134,718.75
  6. Step 6: Final answer
    x = 260,447.02

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.