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Finding the Third Proportional to 57,957.50 and 123,570.25

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Solution

The third proportional to 57,957.50 and 123,570.25 is: 263,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,957.50 : 123,570.25 = 123,570.25 : x
  2. Step 2: Convert to fraction form
    57,957.50/123,570.25 = 123,570.25/x
  3. Step 3: Cross multiply
    57,957.50x = 123,570.25 × 123,570.25
  4. Step 4: Simplify right side
    57,957.50x = 15,269,606,685.06
  5. Step 5: Solve for x
    x = 15,269,606,685.06/57,957.50
  6. Step 6: Final answer
    x = 263,462.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.