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Finding the Third Proportional to 57,466.13 and 121,843.13

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Solution

The third proportional to 57,466.13 and 121,843.13 is: 258,339.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,466.13 : 121,843.13 = 121,843.13 : x
  2. Step 2: Convert to fraction form
    57,466.13/121,843.13 = 121,843.13/x
  3. Step 3: Cross multiply
    57,466.13x = 121,843.13 × 121,843.13
  4. Step 4: Simplify right side
    57,466.13x = 14,845,747,109.77
  5. Step 5: Solve for x
    x = 14,845,747,109.77/57,466.13
  6. Step 6: Final answer
    x = 258,339.10

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