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Finding the Third Proportional to 47,394.50 and 109,720.25

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Solution

The third proportional to 47,394.50 and 109,720.25 is: 254,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,394.50 : 109,720.25 = 109,720.25 : x
  2. Step 2: Convert to fraction form
    47,394.50/109,720.25 = 109,720.25/x
  3. Step 3: Cross multiply
    47,394.50x = 109,720.25 × 109,720.25
  4. Step 4: Simplify right side
    47,394.50x = 12,038,533,260.06
  5. Step 5: Solve for x
    x = 12,038,533,260.06/47,394.50
  6. Step 6: Final answer
    x = 254,006.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.