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Finding the Third Proportional to 56,472 and 120,716

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Solution

The third proportional to 56,472 and 120,716 is: 258,045.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,472 : 120,716 = 120,716 : x
  2. Step 2: Convert to fraction form
    56,472/120,716 = 120,716/x
  3. Step 3: Cross multiply
    56,472x = 120,716 × 120,716
  4. Step 4: Simplify right side
    56,472x = 14,572,352,656
  5. Step 5: Solve for x
    x = 14,572,352,656/56,472
  6. Step 6: Final answer
    x = 258,045.63

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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.