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Finding the Third Proportional to 56,480 and 120,732

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Solution

The third proportional to 56,480 and 120,732 is: 258,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,480 : 120,732 = 120,732 : x
  2. Step 2: Convert to fraction form
    56,480/120,732 = 120,732/x
  3. Step 3: Cross multiply
    56,480x = 120,732 × 120,732
  4. Step 4: Simplify right side
    56,480x = 14,576,215,824
  5. Step 5: Solve for x
    x = 14,576,215,824/56,480
  6. Step 6: Final answer
    x = 258,077.48

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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.