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Finding the Third Proportional to 56,295 and 120,468

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Solution

The third proportional to 56,295 and 120,468 is: 257,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,295 : 120,468 = 120,468 : x
  2. Step 2: Convert to fraction form
    56,295/120,468 = 120,468/x
  3. Step 3: Cross multiply
    56,295x = 120,468 × 120,468
  4. Step 4: Simplify right side
    56,295x = 14,512,539,024
  5. Step 5: Solve for x
    x = 14,512,539,024/56,295
  6. Step 6: Final answer
    x = 257,794.46

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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.