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Finding the Third Proportional to 84,456 and 118,770

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Solution

The third proportional to 84,456 and 118,770 is: 167,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,456 : 118,770 = 118,770 : x
  2. Step 2: Convert to fraction form
    84,456/118,770 = 118,770/x
  3. Step 3: Cross multiply
    84,456x = 118,770 × 118,770
  4. Step 4: Simplify right side
    84,456x = 14,106,312,900
  5. Step 5: Solve for x
    x = 14,106,312,900/84,456
  6. Step 6: Final answer
    x = 167,025.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.