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Finding the Third Proportional to 54,237.38 and 83,968.88

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Solution

The third proportional to 54,237.38 and 83,968.88 is: 129,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,237.38 : 83,968.88 = 83,968.88 : x
  2. Step 2: Convert to fraction form
    54,237.38/83,968.88 = 83,968.88/x
  3. Step 3: Cross multiply
    54,237.38x = 83,968.88 × 83,968.88
  4. Step 4: Simplify right side
    54,237.38x = 7,050,771,968.77
  5. Step 5: Solve for x
    x = 7,050,771,968.77/54,237.38
  6. Step 6: Final answer
    x = 129,998.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.