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Finding the Third Proportional to 120,178.13 and 183,445.31

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Solution

The third proportional to 120,178.13 and 183,445.31 is: 280,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,178.13 : 183,445.31 = 183,445.31 : x
  2. Step 2: Convert to fraction form
    120,178.13/183,445.31 = 183,445.31/x
  3. Step 3: Cross multiply
    120,178.13x = 183,445.31 × 183,445.31
  4. Step 4: Simplify right side
    120,178.13x = 33,652,182,678.22
  5. Step 5: Solve for x
    x = 33,652,182,678.22/120,178.13
  6. Step 6: Final answer
    x = 280,019.20

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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.