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Finding the Third Proportional to 141,104 and 216,152

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Solution

The third proportional to 141,104 and 216,152 is: 331,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,104 : 216,152 = 216,152 : x
  2. Step 2: Convert to fraction form
    141,104/216,152 = 216,152/x
  3. Step 3: Cross multiply
    141,104x = 216,152 × 216,152
  4. Step 4: Simplify right side
    141,104x = 46,721,687,104
  5. Step 5: Solve for x
    x = 46,721,687,104/141,104
  6. Step 6: Final answer
    x = 331,115.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.