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Finding the Third Proportional to 56,952 and 122,316

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Solution

The third proportional to 56,952 and 122,316 is: 262,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,952 : 122,316 = 122,316 : x
  2. Step 2: Convert to fraction form
    56,952/122,316 = 122,316/x
  3. Step 3: Cross multiply
    56,952x = 122,316 × 122,316
  4. Step 4: Simplify right side
    56,952x = 14,961,203,856
  5. Step 5: Solve for x
    x = 14,961,203,856/56,952
  6. Step 6: Final answer
    x = 262,698.48

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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.