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Finding the Third Proportional to 74,744 and 161,288

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Solution

The third proportional to 74,744 and 161,288 is: 348,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,744 : 161,288 = 161,288 : x
  2. Step 2: Convert to fraction form
    74,744/161,288 = 161,288/x
  3. Step 3: Cross multiply
    74,744x = 161,288 × 161,288
  4. Step 4: Simplify right side
    74,744x = 26,013,818,944
  5. Step 5: Solve for x
    x = 26,013,818,944/74,744
  6. Step 6: Final answer
    x = 348,038.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.