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Finding the Third Proportional to 137,653.13 and 193,849.13

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Solution

The third proportional to 137,653.13 and 193,849.13 is: 272,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,653.13 : 193,849.13 = 193,849.13 : x
  2. Step 2: Convert to fraction form
    137,653.13/193,849.13 = 193,849.13/x
  3. Step 3: Cross multiply
    137,653.13x = 193,849.13 × 193,849.13
  4. Step 4: Simplify right side
    137,653.13x = 37,577,483,263.27
  5. Step 5: Solve for x
    x = 37,577,483,263.27/137,653.13
  6. Step 6: Final answer
    x = 272,986.78

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