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Finding the Third Proportional to 56,146 and 120,554

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Solution

The third proportional to 56,146 and 120,554 is: 258,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,146 : 120,554 = 120,554 : x
  2. Step 2: Convert to fraction form
    56,146/120,554 = 120,554/x
  3. Step 3: Cross multiply
    56,146x = 120,554 × 120,554
  4. Step 4: Simplify right side
    56,146x = 14,533,266,916
  5. Step 5: Solve for x
    x = 14,533,266,916/56,146
  6. Step 6: Final answer
    x = 258,847.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.