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Finding the Third Proportional to 53,291.67 and 113,968.27

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Solution

The third proportional to 53,291.67 and 113,968.27 is: 243,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,291.67 : 113,968.27 = 113,968.27 : x
  2. Step 2: Convert to fraction form
    53,291.67/113,968.27 = 113,968.27/x
  3. Step 3: Cross multiply
    53,291.67x = 113,968.27 × 113,968.27
  4. Step 4: Simplify right side
    53,291.67x = 12,988,765,569.57
  5. Step 5: Solve for x
    x = 12,988,765,569.57/53,291.67
  6. Step 6: Final answer
    x = 243,729.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.