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Finding the Third Proportional to 56,034 and 121,407

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Solution

The third proportional to 56,034 and 121,407 is: 263,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,034 : 121,407 = 121,407 : x
  2. Step 2: Convert to fraction form
    56,034/121,407 = 121,407/x
  3. Step 3: Cross multiply
    56,034x = 121,407 × 121,407
  4. Step 4: Simplify right side
    56,034x = 14,739,659,649
  5. Step 5: Solve for x
    x = 14,739,659,649/56,034
  6. Step 6: Final answer
    x = 263,048.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.