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Finding the Third Proportional to 84,516 and 118,152

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Solution

The third proportional to 84,516 and 118,152 is: 165,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,516 : 118,152 = 118,152 : x
  2. Step 2: Convert to fraction form
    84,516/118,152 = 118,152/x
  3. Step 3: Cross multiply
    84,516x = 118,152 × 118,152
  4. Step 4: Simplify right side
    84,516x = 13,959,895,104
  5. Step 5: Solve for x
    x = 13,959,895,104/84,516
  6. Step 6: Final answer
    x = 165,174.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.