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Finding the Third Proportional to 56,481 and 120,718

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Solution

The third proportional to 56,481 and 120,718 is: 258,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,481 : 120,718 = 120,718 : x
  2. Step 2: Convert to fraction form
    56,481/120,718 = 120,718/x
  3. Step 3: Cross multiply
    56,481x = 120,718 × 120,718
  4. Step 4: Simplify right side
    56,481x = 14,572,835,524
  5. Step 5: Solve for x
    x = 14,572,835,524/56,481
  6. Step 6: Final answer
    x = 258,013.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.