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Finding the Third Proportional to 75,769.50 and 116,497.50

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Solution

The third proportional to 75,769.50 and 116,497.50 is: 179,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,769.50 : 116,497.50 = 116,497.50 : x
  2. Step 2: Convert to fraction form
    75,769.50/116,497.50 = 116,497.50/x
  3. Step 3: Cross multiply
    75,769.50x = 116,497.50 × 116,497.50
  4. Step 4: Simplify right side
    75,769.50x = 13,571,667,506.25
  5. Step 5: Solve for x
    x = 13,571,667,506.25/75,769.50
  6. Step 6: Final answer
    x = 179,117.82

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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.