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Finding the Third Proportional to 74,853 and 160,073

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Solution

The third proportional to 74,853 and 160,073 is: 342,315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,853 : 160,073 = 160,073 : x
  2. Step 2: Convert to fraction form
    74,853/160,073 = 160,073/x
  3. Step 3: Cross multiply
    74,853x = 160,073 × 160,073
  4. Step 4: Simplify right side
    74,853x = 25,623,365,329
  5. Step 5: Solve for x
    x = 25,623,365,329/74,853
  6. Step 6: Final answer
    x = 342,315.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.