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Finding the Third Proportional to 122,677.03 and 183,776.34

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Solution

The third proportional to 122,677.03 and 183,776.34 is: 275,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,677.03 : 183,776.34 = 183,776.34 : x
  2. Step 2: Convert to fraction form
    122,677.03/183,776.34 = 183,776.34/x
  3. Step 3: Cross multiply
    122,677.03x = 183,776.34 × 183,776.34
  4. Step 4: Simplify right side
    122,677.03x = 33,773,744,522.12
  5. Step 5: Solve for x
    x = 33,773,744,522.12/122,677.03
  6. Step 6: Final answer
    x = 275,306.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.