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Finding the Third Proportional to 46,103.50 and 71,201.75

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Solution

The third proportional to 46,103.50 and 71,201.75 is: 109,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,103.50 : 71,201.75 = 71,201.75 : x
  2. Step 2: Convert to fraction form
    46,103.50/71,201.75 = 71,201.75/x
  3. Step 3: Cross multiply
    46,103.50x = 71,201.75 × 71,201.75
  4. Step 4: Simplify right side
    46,103.50x = 5,069,689,203.06
  5. Step 5: Solve for x
    x = 5,069,689,203.06/46,103.50
  6. Step 6: Final answer
    x = 109,963.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.