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Finding the Third Proportional to 59,513.63 and 123,959.25

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Solution

The third proportional to 59,513.63 and 123,959.25 is: 258,191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,513.63 : 123,959.25 = 123,959.25 : x
  2. Step 2: Convert to fraction form
    59,513.63/123,959.25 = 123,959.25/x
  3. Step 3: Cross multiply
    59,513.63x = 123,959.25 × 123,959.25
  4. Step 4: Simplify right side
    59,513.63x = 15,365,895,660.56
  5. Step 5: Solve for x
    x = 15,365,895,660.56/59,513.63
  6. Step 6: Final answer
    x = 258,191.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.