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Finding the Third Proportional to 108,246 and 168,022

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Solution

The third proportional to 108,246 and 168,022 is: 260,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,246 : 168,022 = 168,022 : x
  2. Step 2: Convert to fraction form
    108,246/168,022 = 168,022/x
  3. Step 3: Cross multiply
    108,246x = 168,022 × 168,022
  4. Step 4: Simplify right side
    108,246x = 28,231,392,484
  5. Step 5: Solve for x
    x = 28,231,392,484/108,246
  6. Step 6: Final answer
    x = 260,807.72

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Why These Related Problems?

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