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Finding the Third Proportional to 44,079 and 96,735

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Solution

The third proportional to 44,079 and 96,735 is: 212,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,079 : 96,735 = 96,735 : x
  2. Step 2: Convert to fraction form
    44,079/96,735 = 96,735/x
  3. Step 3: Cross multiply
    44,079x = 96,735 × 96,735
  4. Step 4: Simplify right side
    44,079x = 9,357,660,225
  5. Step 5: Solve for x
    x = 9,357,660,225/44,079
  6. Step 6: Final answer
    x = 212,292.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.