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Finding the Third Proportional to 132,996.94 and 187,056.84

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Solution

The third proportional to 132,996.94 and 187,056.84 is: 263,090.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,996.94 : 187,056.84 = 187,056.84 : x
  2. Step 2: Convert to fraction form
    132,996.94/187,056.84 = 187,056.84/x
  3. Step 3: Cross multiply
    132,996.94x = 187,056.84 × 187,056.84
  4. Step 4: Simplify right side
    132,996.94x = 34,990,262,793.71
  5. Step 5: Solve for x
    x = 34,990,262,793.71/132,996.94
  6. Step 6: Final answer
    x = 263,090.74

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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.