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Finding the Third Proportional to 52,720.50 and 109,815.75

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Solution

The third proportional to 52,720.50 and 109,815.75 is: 228,744.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,720.50 : 109,815.75 = 109,815.75 : x
  2. Step 2: Convert to fraction form
    52,720.50/109,815.75 = 109,815.75/x
  3. Step 3: Cross multiply
    52,720.50x = 109,815.75 × 109,815.75
  4. Step 4: Simplify right side
    52,720.50x = 12,059,498,948.06
  5. Step 5: Solve for x
    x = 12,059,498,948.06/52,720.50
  6. Step 6: Final answer
    x = 228,744.02

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Why These Related Problems?

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