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Finding the Third Proportional to 57,854 and 120,316

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Solution

The third proportional to 57,854 and 120,316 is: 250,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,854 : 120,316 = 120,316 : x
  2. Step 2: Convert to fraction form
    57,854/120,316 = 120,316/x
  3. Step 3: Cross multiply
    57,854x = 120,316 × 120,316
  4. Step 4: Simplify right side
    57,854x = 14,475,939,856
  5. Step 5: Solve for x
    x = 14,475,939,856/57,854
  6. Step 6: Final answer
    x = 250,215.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.