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Finding the Third Proportional to 88,584 and 134,515.50

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Solution

The third proportional to 88,584 and 134,515.50 is: 204,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,584 : 134,515.50 = 134,515.50 : x
  2. Step 2: Convert to fraction form
    88,584/134,515.50 = 134,515.50/x
  3. Step 3: Cross multiply
    88,584x = 134,515.50 × 134,515.50
  4. Step 4: Simplify right side
    88,584x = 18,094,419,740.25
  5. Step 5: Solve for x
    x = 18,094,419,740.25/88,584
  6. Step 6: Final answer
    x = 204,262.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.