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Finding the Third Proportional to 102,052 and 216,240

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Solution

The third proportional to 102,052 and 216,240 is: 458,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,052 : 216,240 = 216,240 : x
  2. Step 2: Convert to fraction form
    102,052/216,240 = 216,240/x
  3. Step 3: Cross multiply
    102,052x = 216,240 × 216,240
  4. Step 4: Simplify right side
    102,052x = 46,759,737,600
  5. Step 5: Solve for x
    x = 46,759,737,600/102,052
  6. Step 6: Final answer
    x = 458,195.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.