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Finding the Third Proportional to 84,364 and 118,653

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Solution

The third proportional to 84,364 and 118,653 is: 166,878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,364 : 118,653 = 118,653 : x
  2. Step 2: Convert to fraction form
    84,364/118,653 = 118,653/x
  3. Step 3: Cross multiply
    84,364x = 118,653 × 118,653
  4. Step 4: Simplify right side
    84,364x = 14,078,534,409
  5. Step 5: Solve for x
    x = 14,078,534,409/84,364
  6. Step 6: Final answer
    x = 166,878.46

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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.