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Finding the Third Proportional to 45,359.50 and 96,119

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Solution

The third proportional to 45,359.50 and 96,119 is: 203,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,359.50 : 96,119 = 96,119 : x
  2. Step 2: Convert to fraction form
    45,359.50/96,119 = 96,119/x
  3. Step 3: Cross multiply
    45,359.50x = 96,119 × 96,119
  4. Step 4: Simplify right side
    45,359.50x = 9,238,862,161
  5. Step 5: Solve for x
    x = 9,238,862,161/45,359.50
  6. Step 6: Final answer
    x = 203,680.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.