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Finding the Third Proportional to 56,526 and 121,950

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Solution

The third proportional to 56,526 and 121,950 is: 263,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,526 : 121,950 = 121,950 : x
  2. Step 2: Convert to fraction form
    56,526/121,950 = 121,950/x
  3. Step 3: Cross multiply
    56,526x = 121,950 × 121,950
  4. Step 4: Simplify right side
    56,526x = 14,871,802,500
  5. Step 5: Solve for x
    x = 14,871,802,500/56,526
  6. Step 6: Final answer
    x = 263,096.67

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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.