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Finding the Third Proportional to 65,158 and 87,152

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Solution

The third proportional to 65,158 and 87,152 is: 116,570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,158 : 87,152 = 87,152 : x
  2. Step 2: Convert to fraction form
    65,158/87,152 = 87,152/x
  3. Step 3: Cross multiply
    65,158x = 87,152 × 87,152
  4. Step 4: Simplify right side
    65,158x = 7,595,471,104
  5. Step 5: Solve for x
    x = 7,595,471,104/65,158
  6. Step 6: Final answer
    x = 116,570.05

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.