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Finding the Third Proportional to 45,960.50 and 96,130

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Solution

The third proportional to 45,960.50 and 96,130 is: 201,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,960.50 : 96,130 = 96,130 : x
  2. Step 2: Convert to fraction form
    45,960.50/96,130 = 96,130/x
  3. Step 3: Cross multiply
    45,960.50x = 96,130 × 96,130
  4. Step 4: Simplify right side
    45,960.50x = 9,240,976,900
  5. Step 5: Solve for x
    x = 9,240,976,900/45,960.50
  6. Step 6: Final answer
    x = 201,063.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.