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Finding the Third Proportional to 138,421.13 and 197,942.06

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Solution

The third proportional to 138,421.13 and 197,942.06 is: 283,056.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,421.13 : 197,942.06 = 197,942.06 : x
  2. Step 2: Convert to fraction form
    138,421.13/197,942.06 = 197,942.06/x
  3. Step 3: Cross multiply
    138,421.13x = 197,942.06 × 197,942.06
  4. Step 4: Simplify right side
    138,421.13x = 39,181,060,106.75
  5. Step 5: Solve for x
    x = 39,181,060,106.75/138,421.13
  6. Step 6: Final answer
    x = 283,056.94

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.