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Finding the Third Proportional to 88,116 and 134,235

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Solution

The third proportional to 88,116 and 134,235 is: 204,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,116 : 134,235 = 134,235 : x
  2. Step 2: Convert to fraction form
    88,116/134,235 = 134,235/x
  3. Step 3: Cross multiply
    88,116x = 134,235 × 134,235
  4. Step 4: Simplify right side
    88,116x = 18,019,035,225
  5. Step 5: Solve for x
    x = 18,019,035,225/88,116
  6. Step 6: Final answer
    x = 204,492.21

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Why These Related Problems?

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