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Finding the Third Proportional to 108,756 and 153,154

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Solution

The third proportional to 108,756 and 153,154 is: 215,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,756 : 153,154 = 153,154 : x
  2. Step 2: Convert to fraction form
    108,756/153,154 = 153,154/x
  3. Step 3: Cross multiply
    108,756x = 153,154 × 153,154
  4. Step 4: Simplify right side
    108,756x = 23,456,147,716
  5. Step 5: Solve for x
    x = 23,456,147,716/108,756
  6. Step 6: Final answer
    x = 215,676.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.