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Finding the Third Proportional to 88,636 and 119,416

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Solution

The third proportional to 88,636 and 119,416 is: 160,884.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,636 : 119,416 = 119,416 : x
  2. Step 2: Convert to fraction form
    88,636/119,416 = 119,416/x
  3. Step 3: Cross multiply
    88,636x = 119,416 × 119,416
  4. Step 4: Simplify right side
    88,636x = 14,260,181,056
  5. Step 5: Solve for x
    x = 14,260,181,056/88,636
  6. Step 6: Final answer
    x = 160,884.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.