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Finding the Third Proportional to 56,790 and 119,459.25

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Solution

The third proportional to 56,790 and 119,459.25 is: 251,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,790 : 119,459.25 = 119,459.25 : x
  2. Step 2: Convert to fraction form
    56,790/119,459.25 = 119,459.25/x
  3. Step 3: Cross multiply
    56,790x = 119,459.25 × 119,459.25
  4. Step 4: Simplify right side
    56,790x = 14,270,512,410.56
  5. Step 5: Solve for x
    x = 14,270,512,410.56/56,790
  6. Step 6: Final answer
    x = 251,285.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.