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Finding the Third Proportional to 74,887 and 159,007

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Solution

The third proportional to 74,887 and 159,007 is: 337,618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,887 : 159,007 = 159,007 : x
  2. Step 2: Convert to fraction form
    74,887/159,007 = 159,007/x
  3. Step 3: Cross multiply
    74,887x = 159,007 × 159,007
  4. Step 4: Simplify right side
    74,887x = 25,283,226,049
  5. Step 5: Solve for x
    x = 25,283,226,049/74,887
  6. Step 6: Final answer
    x = 337,618.36

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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.