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Finding the Third Proportional to 84,447 and 118,773

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Solution

The third proportional to 84,447 and 118,773 is: 167,051.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,447 : 118,773 = 118,773 : x
  2. Step 2: Convert to fraction form
    84,447/118,773 = 118,773/x
  3. Step 3: Cross multiply
    84,447x = 118,773 × 118,773
  4. Step 4: Simplify right side
    84,447x = 14,107,025,529
  5. Step 5: Solve for x
    x = 14,107,025,529/84,447
  6. Step 6: Final answer
    x = 167,051.83

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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.