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Finding the Third Proportional to 72,765 and 159,671.25

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Solution

The third proportional to 72,765 and 159,671.25 is: 350,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,765 : 159,671.25 = 159,671.25 : x
  2. Step 2: Convert to fraction form
    72,765/159,671.25 = 159,671.25/x
  3. Step 3: Cross multiply
    72,765x = 159,671.25 × 159,671.25
  4. Step 4: Simplify right side
    72,765x = 25,494,908,076.56
  5. Step 5: Solve for x
    x = 25,494,908,076.56/72,765
  6. Step 6: Final answer
    x = 350,373.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.