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Finding the Third Proportional to 57,205.13 and 124,252.13

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Solution

The third proportional to 57,205.13 and 124,252.13 is: 269,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,205.13 : 124,252.13 = 124,252.13 : x
  2. Step 2: Convert to fraction form
    57,205.13/124,252.13 = 124,252.13/x
  3. Step 3: Cross multiply
    57,205.13x = 124,252.13 × 124,252.13
  4. Step 4: Simplify right side
    57,205.13x = 15,438,590,567.02
  5. Step 5: Solve for x
    x = 15,438,590,567.02/57,205.13
  6. Step 6: Final answer
    x = 269,881.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.