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Finding the Third Proportional to 52,797.50 and 109,963.50

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Solution

The third proportional to 52,797.50 and 109,963.50 is: 229,025.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,797.50 : 109,963.50 = 109,963.50 : x
  2. Step 2: Convert to fraction form
    52,797.50/109,963.50 = 109,963.50/x
  3. Step 3: Cross multiply
    52,797.50x = 109,963.50 × 109,963.50
  4. Step 4: Simplify right side
    52,797.50x = 12,091,971,332.25
  5. Step 5: Solve for x
    x = 12,091,971,332.25/52,797.50
  6. Step 6: Final answer
    x = 229,025.45

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.