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Finding the Third Proportional to 56,710.13 and 122,087.25

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Solution

The third proportional to 56,710.13 and 122,087.25 is: 262,833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,710.13 : 122,087.25 = 122,087.25 : x
  2. Step 2: Convert to fraction form
    56,710.13/122,087.25 = 122,087.25/x
  3. Step 3: Cross multiply
    56,710.13x = 122,087.25 × 122,087.25
  4. Step 4: Simplify right side
    56,710.13x = 14,905,296,612.56
  5. Step 5: Solve for x
    x = 14,905,296,612.56/56,710.13
  6. Step 6: Final answer
    x = 262,833.08

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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.