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Finding the Third Proportional to 137,602.50 and 193,774.50

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Solution

The third proportional to 137,602.50 and 193,774.50 is: 272,877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,602.50 : 193,774.50 = 193,774.50 : x
  2. Step 2: Convert to fraction form
    137,602.50/193,774.50 = 193,774.50/x
  3. Step 3: Cross multiply
    137,602.50x = 193,774.50 × 193,774.50
  4. Step 4: Simplify right side
    137,602.50x = 37,548,556,850.25
  5. Step 5: Solve for x
    x = 37,548,556,850.25/137,602.50
  6. Step 6: Final answer
    x = 272,877.00

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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.