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Finding the Third Proportional to 57,329.13 and 121,596.13

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Solution

The third proportional to 57,329.13 and 121,596.13 is: 257,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,329.13 : 121,596.13 = 121,596.13 : x
  2. Step 2: Convert to fraction form
    57,329.13/121,596.13 = 121,596.13/x
  3. Step 3: Cross multiply
    57,329.13x = 121,596.13 × 121,596.13
  4. Step 4: Simplify right side
    57,329.13x = 14,785,617,615.02
  5. Step 5: Solve for x
    x = 14,785,617,615.02/57,329.13
  6. Step 6: Final answer
    x = 257,907.61

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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.