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Finding the Third Proportional to 124,024.50 and 196,644

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Solution

The third proportional to 124,024.50 and 196,644 is: 311,784.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,024.50 : 196,644 = 196,644 : x
  2. Step 2: Convert to fraction form
    124,024.50/196,644 = 196,644/x
  3. Step 3: Cross multiply
    124,024.50x = 196,644 × 196,644
  4. Step 4: Simplify right side
    124,024.50x = 38,668,862,736
  5. Step 5: Solve for x
    x = 38,668,862,736/124,024.50
  6. Step 6: Final answer
    x = 311,784.06

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.