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Finding the Third Proportional to 52,263.19 and 114,676.69

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Solution

The third proportional to 52,263.19 and 114,676.69 is: 251,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,263.19 : 114,676.69 = 114,676.69 : x
  2. Step 2: Convert to fraction form
    52,263.19/114,676.69 = 114,676.69/x
  3. Step 3: Cross multiply
    52,263.19x = 114,676.69 × 114,676.69
  4. Step 4: Simplify right side
    52,263.19x = 13,150,742,655.97
  5. Step 5: Solve for x
    x = 13,150,742,655.97/52,263.19
  6. Step 6: Final answer
    x = 251,625.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.