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Finding the Third Proportional to 56,787 and 119,459

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Solution

The third proportional to 56,787 and 119,459 is: 251,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,787 : 119,459 = 119,459 : x
  2. Step 2: Convert to fraction form
    56,787/119,459 = 119,459/x
  3. Step 3: Cross multiply
    56,787x = 119,459 × 119,459
  4. Step 4: Simplify right side
    56,787x = 14,270,452,681
  5. Step 5: Solve for x
    x = 14,270,452,681/56,787
  6. Step 6: Final answer
    x = 251,297.88

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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.