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Finding the Third Proportional to 56,835 and 119,562

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Solution

The third proportional to 56,835 and 119,562 is: 251,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,835 : 119,562 = 119,562 : x
  2. Step 2: Convert to fraction form
    56,835/119,562 = 119,562/x
  3. Step 3: Cross multiply
    56,835x = 119,562 × 119,562
  4. Step 4: Simplify right side
    56,835x = 14,295,071,844
  5. Step 5: Solve for x
    x = 14,295,071,844/56,835
  6. Step 6: Final answer
    x = 251,518.81

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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.