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Finding the Third Proportional to 56,953.13 and 122,667.75

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Solution

The third proportional to 56,953.13 and 122,667.75 is: 264,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,953.13 : 122,667.75 = 122,667.75 : x
  2. Step 2: Convert to fraction form
    56,953.13/122,667.75 = 122,667.75/x
  3. Step 3: Cross multiply
    56,953.13x = 122,667.75 × 122,667.75
  4. Step 4: Simplify right side
    56,953.13x = 15,047,376,890.06
  5. Step 5: Solve for x
    x = 15,047,376,890.06/56,953.13
  6. Step 6: Final answer
    x = 264,206.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.