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Finding the Third Proportional to 57,393 and 121,603.50

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Solution

The third proportional to 57,393 and 121,603.50 is: 257,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,393 : 121,603.50 = 121,603.50 : x
  2. Step 2: Convert to fraction form
    57,393/121,603.50 = 121,603.50/x
  3. Step 3: Cross multiply
    57,393x = 121,603.50 × 121,603.50
  4. Step 4: Simplify right side
    57,393x = 14,787,411,212.25
  5. Step 5: Solve for x
    x = 14,787,411,212.25/57,393
  6. Step 6: Final answer
    x = 257,651.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.