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Finding the Third Proportional to 102,932 and 220,133

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Solution

The third proportional to 102,932 and 220,133 is: 470,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,932 : 220,133 = 220,133 : x
  2. Step 2: Convert to fraction form
    102,932/220,133 = 220,133/x
  3. Step 3: Cross multiply
    102,932x = 220,133 × 220,133
  4. Step 4: Simplify right side
    102,932x = 48,458,537,689
  5. Step 5: Solve for x
    x = 48,458,537,689/102,932
  6. Step 6: Final answer
    x = 470,782.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.