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Finding the Third Proportional to 100,758.94 and 157,266.56

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Solution

The third proportional to 100,758.94 and 157,266.56 is: 245,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,758.94 : 157,266.56 = 157,266.56 : x
  2. Step 2: Convert to fraction form
    100,758.94/157,266.56 = 157,266.56/x
  3. Step 3: Cross multiply
    100,758.94x = 157,266.56 × 157,266.56
  4. Step 4: Simplify right side
    100,758.94x = 24,732,771,680.57
  5. Step 5: Solve for x
    x = 24,732,771,680.57/100,758.94
  6. Step 6: Final answer
    x = 245,464.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.