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Finding the Third Proportional to 84,580 and 118,806

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Solution

The third proportional to 84,580 and 118,806 is: 166,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,580 : 118,806 = 118,806 : x
  2. Step 2: Convert to fraction form
    84,580/118,806 = 118,806/x
  3. Step 3: Cross multiply
    84,580x = 118,806 × 118,806
  4. Step 4: Simplify right side
    84,580x = 14,114,865,636
  5. Step 5: Solve for x
    x = 14,114,865,636/84,580
  6. Step 6: Final answer
    x = 166,881.84

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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.