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Finding the Third Proportional to 57,331.13 and 121,600.13

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Solution

The third proportional to 57,331.13 and 121,600.13 is: 257,915.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,331.13 : 121,600.13 = 121,600.13 : x
  2. Step 2: Convert to fraction form
    57,331.13/121,600.13 = 121,600.13/x
  3. Step 3: Cross multiply
    57,331.13x = 121,600.13 × 121,600.13
  4. Step 4: Simplify right side
    57,331.13x = 14,786,590,400.02
  5. Step 5: Solve for x
    x = 14,786,590,400.02/57,331.13
  6. Step 6: Final answer
    x = 257,915.58

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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.