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Finding the Third Proportional to 137,602.88 and 193,774.88

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Solution

The third proportional to 137,602.88 and 193,774.88 is: 272,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,602.88 : 193,774.88 = 193,774.88 : x
  2. Step 2: Convert to fraction form
    137,602.88/193,774.88 = 193,774.88/x
  3. Step 3: Cross multiply
    137,602.88x = 193,774.88 × 193,774.88
  4. Step 4: Simplify right side
    137,602.88x = 37,548,702,181.27
  5. Step 5: Solve for x
    x = 37,548,702,181.27/137,602.88
  6. Step 6: Final answer
    x = 272,877.31

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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.