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Finding the Third Proportional to 79,434 and 116,718.75

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Solution

The third proportional to 79,434 and 116,718.75 is: 171,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,434 : 116,718.75 = 116,718.75 : x
  2. Step 2: Convert to fraction form
    79,434/116,718.75 = 116,718.75/x
  3. Step 3: Cross multiply
    79,434x = 116,718.75 × 116,718.75
  4. Step 4: Simplify right side
    79,434x = 13,623,266,601.56
  5. Step 5: Solve for x
    x = 13,623,266,601.56/79,434
  6. Step 6: Final answer
    x = 171,504.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.