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Finding the Third Proportional to 56,360 and 121,738

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Solution

The third proportional to 56,360 and 121,738 is: 262,954.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,360 : 121,738 = 121,738 : x
  2. Step 2: Convert to fraction form
    56,360/121,738 = 121,738/x
  3. Step 3: Cross multiply
    56,360x = 121,738 × 121,738
  4. Step 4: Simplify right side
    56,360x = 14,820,140,644
  5. Step 5: Solve for x
    x = 14,820,140,644/56,360
  6. Step 6: Final answer
    x = 262,954.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.