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Finding the Third Proportional to 52,386.75 and 109,905.75

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Solution

The third proportional to 52,386.75 and 109,905.75 is: 230,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,386.75 : 109,905.75 = 109,905.75 : x
  2. Step 2: Convert to fraction form
    52,386.75/109,905.75 = 109,905.75/x
  3. Step 3: Cross multiply
    52,386.75x = 109,905.75 × 109,905.75
  4. Step 4: Simplify right side
    52,386.75x = 12,079,273,883.06
  5. Step 5: Solve for x
    x = 12,079,273,883.06/52,386.75
  6. Step 6: Final answer
    x = 230,578.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.