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Finding the Third Proportional to 132,057.84 and 190,763.86

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Solution

The third proportional to 132,057.84 and 190,763.86 is: 275,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,057.84 : 190,763.86 = 190,763.86 : x
  2. Step 2: Convert to fraction form
    132,057.84/190,763.86 = 190,763.86/x
  3. Step 3: Cross multiply
    132,057.84x = 190,763.86 × 190,763.86
  4. Step 4: Simplify right side
    132,057.84x = 36,390,850,043.64
  5. Step 5: Solve for x
    x = 36,390,850,043.64/132,057.84
  6. Step 6: Final answer
    x = 275,567.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.