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Finding the Third Proportional to 74,902 and 159,037

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Solution

The third proportional to 74,902 and 159,037 is: 337,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,902 : 159,037 = 159,037 : x
  2. Step 2: Convert to fraction form
    74,902/159,037 = 159,037/x
  3. Step 3: Cross multiply
    74,902x = 159,037 × 159,037
  4. Step 4: Simplify right side
    74,902x = 25,292,767,369
  5. Step 5: Solve for x
    x = 25,292,767,369/74,902
  6. Step 6: Final answer
    x = 337,678.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.