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Finding the Third Proportional to 108,280 and 166,649

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Solution

The third proportional to 108,280 and 166,649 is: 256,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,280 : 166,649 = 166,649 : x
  2. Step 2: Convert to fraction form
    108,280/166,649 = 166,649/x
  3. Step 3: Cross multiply
    108,280x = 166,649 × 166,649
  4. Step 4: Simplify right side
    108,280x = 27,771,889,201
  5. Step 5: Solve for x
    x = 27,771,889,201/108,280
  6. Step 6: Final answer
    x = 256,482.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.