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Finding the Third Proportional to 56,567 and 120,658

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Solution

The third proportional to 56,567 and 120,658 is: 257,364.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,567 : 120,658 = 120,658 : x
  2. Step 2: Convert to fraction form
    56,567/120,658 = 120,658/x
  3. Step 3: Cross multiply
    56,567x = 120,658 × 120,658
  4. Step 4: Simplify right side
    56,567x = 14,558,352,964
  5. Step 5: Solve for x
    x = 14,558,352,964/56,567
  6. Step 6: Final answer
    x = 257,364.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.