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Finding the Third Proportional to 45,254.25 and 96,513.75

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Solution

The third proportional to 45,254.25 and 96,513.75 is: 205,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,254.25 : 96,513.75 = 96,513.75 : x
  2. Step 2: Convert to fraction form
    45,254.25/96,513.75 = 96,513.75/x
  3. Step 3: Cross multiply
    45,254.25x = 96,513.75 × 96,513.75
  4. Step 4: Simplify right side
    45,254.25x = 9,314,903,939.06
  5. Step 5: Solve for x
    x = 9,314,903,939.06/45,254.25
  6. Step 6: Final answer
    x = 205,834.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.