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Finding the Third Proportional to 52,867.25 and 114,446.50

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Solution

The third proportional to 52,867.25 and 114,446.50 is: 247,752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,867.25 : 114,446.50 = 114,446.50 : x
  2. Step 2: Convert to fraction form
    52,867.25/114,446.50 = 114,446.50/x
  3. Step 3: Cross multiply
    52,867.25x = 114,446.50 × 114,446.50
  4. Step 4: Simplify right side
    52,867.25x = 13,098,001,362.25
  5. Step 5: Solve for x
    x = 13,098,001,362.25/52,867.25
  6. Step 6: Final answer
    x = 247,752.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.