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Finding the Third Proportional to 108,178 and 161,366

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Solution

The third proportional to 108,178 and 161,366 is: 240,705.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,178 : 161,366 = 161,366 : x
  2. Step 2: Convert to fraction form
    108,178/161,366 = 161,366/x
  3. Step 3: Cross multiply
    108,178x = 161,366 × 161,366
  4. Step 4: Simplify right side
    108,178x = 26,038,985,956
  5. Step 5: Solve for x
    x = 26,038,985,956/108,178
  6. Step 6: Final answer
    x = 240,705.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.