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Finding the Third Proportional to 124,188 and 196,732.50

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Solution

The third proportional to 124,188 and 196,732.50 is: 311,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,188 : 196,732.50 = 196,732.50 : x
  2. Step 2: Convert to fraction form
    124,188/196,732.50 = 196,732.50/x
  3. Step 3: Cross multiply
    124,188x = 196,732.50 × 196,732.50
  4. Step 4: Simplify right side
    124,188x = 38,703,676,556.25
  5. Step 5: Solve for x
    x = 38,703,676,556.25/124,188
  6. Step 6: Final answer
    x = 311,653.92

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.