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Finding the Third Proportional to 77,928 and 116,860

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Solution

The third proportional to 77,928 and 116,860 is: 175,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,928 : 116,860 = 116,860 : x
  2. Step 2: Convert to fraction form
    77,928/116,860 = 116,860/x
  3. Step 3: Cross multiply
    77,928x = 116,860 × 116,860
  4. Step 4: Simplify right side
    77,928x = 13,656,259,600
  5. Step 5: Solve for x
    x = 13,656,259,600/77,928
  6. Step 6: Final answer
    x = 175,242.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.