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Finding the Third Proportional to 124,537.75 and 257,936.50

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Solution

The third proportional to 124,537.75 and 257,936.50 is: 534,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,537.75 : 257,936.50 = 257,936.50 : x
  2. Step 2: Convert to fraction form
    124,537.75/257,936.50 = 257,936.50/x
  3. Step 3: Cross multiply
    124,537.75x = 257,936.50 × 257,936.50
  4. Step 4: Simplify right side
    124,537.75x = 66,531,238,032.25
  5. Step 5: Solve for x
    x = 66,531,238,032.25/124,537.75
  6. Step 6: Final answer
    x = 534,225.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.