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Finding the Third Proportional to 51,752.25 and 105,407.25

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Solution

The third proportional to 51,752.25 and 105,407.25 is: 214,689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,752.25 : 105,407.25 = 105,407.25 : x
  2. Step 2: Convert to fraction form
    51,752.25/105,407.25 = 105,407.25/x
  3. Step 3: Cross multiply
    51,752.25x = 105,407.25 × 105,407.25
  4. Step 4: Simplify right side
    51,752.25x = 11,110,688,352.56
  5. Step 5: Solve for x
    x = 11,110,688,352.56/51,752.25
  6. Step 6: Final answer
    x = 214,689.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.