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Finding the Third Proportional to 56,977.25 and 124,693.75

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Solution

The third proportional to 56,977.25 and 124,693.75 is: 272,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,977.25 : 124,693.75 = 124,693.75 : x
  2. Step 2: Convert to fraction form
    56,977.25/124,693.75 = 124,693.75/x
  3. Step 3: Cross multiply
    56,977.25x = 124,693.75 × 124,693.75
  4. Step 4: Simplify right side
    56,977.25x = 15,548,531,289.06
  5. Step 5: Solve for x
    x = 15,548,531,289.06/56,977.25
  6. Step 6: Final answer
    x = 272,890.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.