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Finding the Third Proportional to 51,849.50 and 80,066

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Solution

The third proportional to 51,849.50 and 80,066 is: 123,637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,849.50 : 80,066 = 80,066 : x
  2. Step 2: Convert to fraction form
    51,849.50/80,066 = 80,066/x
  3. Step 3: Cross multiply
    51,849.50x = 80,066 × 80,066
  4. Step 4: Simplify right side
    51,849.50x = 6,410,564,356
  5. Step 5: Solve for x
    x = 6,410,564,356/51,849.50
  6. Step 6: Final answer
    x = 123,637.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.