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Finding the Third Proportional to 72,813 and 155,748.75

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Solution

The third proportional to 72,813 and 155,748.75 is: 333,150.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,813 : 155,748.75 = 155,748.75 : x
  2. Step 2: Convert to fraction form
    72,813/155,748.75 = 155,748.75/x
  3. Step 3: Cross multiply
    72,813x = 155,748.75 × 155,748.75
  4. Step 4: Simplify right side
    72,813x = 24,257,673,126.56
  5. Step 5: Solve for x
    x = 24,257,673,126.56/72,813
  6. Step 6: Final answer
    x = 333,150.30

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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.