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Finding the Third Proportional to 132,666.75 and 187,538.63

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Solution

The third proportional to 132,666.75 and 187,538.63 is: 265,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,666.75 : 187,538.63 = 187,538.63 : x
  2. Step 2: Convert to fraction form
    132,666.75/187,538.63 = 187,538.63/x
  3. Step 3: Cross multiply
    132,666.75x = 187,538.63 × 187,538.63
  4. Step 4: Simplify right side
    132,666.75x = 35,170,735,866.89
  5. Step 5: Solve for x
    x = 35,170,735,866.89/132,666.75
  6. Step 6: Final answer
    x = 265,105.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.