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Finding the Third Proportional to 99,769.50 and 146,373.75

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Solution

The third proportional to 99,769.50 and 146,373.75 is: 214,747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,769.50 : 146,373.75 = 146,373.75 : x
  2. Step 2: Convert to fraction form
    99,769.50/146,373.75 = 146,373.75/x
  3. Step 3: Cross multiply
    99,769.50x = 146,373.75 × 146,373.75
  4. Step 4: Simplify right side
    99,769.50x = 21,425,274,689.06
  5. Step 5: Solve for x
    x = 21,425,274,689.06/99,769.50
  6. Step 6: Final answer
    x = 214,747.74

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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.