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Finding the Third Proportional to 47,639.25 and 105,122.25

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Solution

The third proportional to 47,639.25 and 105,122.25 is: 231,966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,639.25 : 105,122.25 = 105,122.25 : x
  2. Step 2: Convert to fraction form
    47,639.25/105,122.25 = 105,122.25/x
  3. Step 3: Cross multiply
    47,639.25x = 105,122.25 × 105,122.25
  4. Step 4: Simplify right side
    47,639.25x = 11,050,687,445.06
  5. Step 5: Solve for x
    x = 11,050,687,445.06/47,639.25
  6. Step 6: Final answer
    x = 231,966.02

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.