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Finding the Third Proportional to 120,421.69 and 183,776.34

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Solution

The third proportional to 120,421.69 and 183,776.34 is: 280,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,421.69 : 183,776.34 = 183,776.34 : x
  2. Step 2: Convert to fraction form
    120,421.69/183,776.34 = 183,776.34/x
  3. Step 3: Cross multiply
    120,421.69x = 183,776.34 × 183,776.34
  4. Step 4: Simplify right side
    120,421.69x = 33,773,744,522.12
  5. Step 5: Solve for x
    x = 33,773,744,522.12/120,421.69
  6. Step 6: Final answer
    x = 280,462.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.