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Finding the Third Proportional to 108,822 and 168,154

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Solution

The third proportional to 108,822 and 168,154 is: 259,835.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,822 : 168,154 = 168,154 : x
  2. Step 2: Convert to fraction form
    108,822/168,154 = 168,154/x
  3. Step 3: Cross multiply
    108,822x = 168,154 × 168,154
  4. Step 4: Simplify right side
    108,822x = 28,275,767,716
  5. Step 5: Solve for x
    x = 28,275,767,716/108,822
  6. Step 6: Final answer
    x = 259,835.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.