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Finding the Third Proportional to 56,035 and 121,403

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Solution

The third proportional to 56,035 and 121,403 is: 263,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,035 : 121,403 = 121,403 : x
  2. Step 2: Convert to fraction form
    56,035/121,403 = 121,403/x
  3. Step 3: Cross multiply
    56,035x = 121,403 × 121,403
  4. Step 4: Simplify right side
    56,035x = 14,738,688,409
  5. Step 5: Solve for x
    x = 14,738,688,409/56,035
  6. Step 6: Final answer
    x = 263,026.47

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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.