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Finding the Third Proportional to 56,148 and 121,201

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Solution

The third proportional to 56,148 and 121,201 is: 261,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,148 : 121,201 = 121,201 : x
  2. Step 2: Convert to fraction form
    56,148/121,201 = 121,201/x
  3. Step 3: Cross multiply
    56,148x = 121,201 × 121,201
  4. Step 4: Simplify right side
    56,148x = 14,689,682,401
  5. Step 5: Solve for x
    x = 14,689,682,401/56,148
  6. Step 6: Final answer
    x = 261,624.32

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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.