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Finding the Third Proportional to 74,046 and 159,914

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Solution

The third proportional to 74,046 and 159,914 is: 345,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,046 : 159,914 = 159,914 : x
  2. Step 2: Convert to fraction form
    74,046/159,914 = 159,914/x
  3. Step 3: Cross multiply
    74,046x = 159,914 × 159,914
  4. Step 4: Simplify right side
    74,046x = 25,572,487,396
  5. Step 5: Solve for x
    x = 25,572,487,396/74,046
  6. Step 6: Final answer
    x = 345,359.47

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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.