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Finding the Third Proportional to 72,976.50 and 157,353

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Solution

The third proportional to 72,976.50 and 157,353 is: 339,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,976.50 : 157,353 = 157,353 : x
  2. Step 2: Convert to fraction form
    72,976.50/157,353 = 157,353/x
  3. Step 3: Cross multiply
    72,976.50x = 157,353 × 157,353
  4. Step 4: Simplify right side
    72,976.50x = 24,759,966,609
  5. Step 5: Solve for x
    x = 24,759,966,609/72,976.50
  6. Step 6: Final answer
    x = 339,286.85

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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.