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Finding the Third Proportional to 137,606.63 and 193,780.13

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Solution

The third proportional to 137,606.63 and 193,780.13 is: 272,884.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,606.63 : 193,780.13 = 193,780.13 : x
  2. Step 2: Convert to fraction form
    137,606.63/193,780.13 = 193,780.13/x
  3. Step 3: Cross multiply
    137,606.63x = 193,780.13 × 193,780.13
  4. Step 4: Simplify right side
    137,606.63x = 37,550,736,845.02
  5. Step 5: Solve for x
    x = 37,550,736,845.02/137,606.63
  6. Step 6: Final answer
    x = 272,884.66

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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.