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Finding the Third Proportional to 77,857.50 and 121,974.75

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Solution

The third proportional to 77,857.50 and 121,974.75 is: 191,090.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,857.50 : 121,974.75 = 121,974.75 : x
  2. Step 2: Convert to fraction form
    77,857.50/121,974.75 = 121,974.75/x
  3. Step 3: Cross multiply
    77,857.50x = 121,974.75 × 121,974.75
  4. Step 4: Simplify right side
    77,857.50x = 14,877,839,637.56
  5. Step 5: Solve for x
    x = 14,877,839,637.56/77,857.50
  6. Step 6: Final answer
    x = 191,090.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.