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Finding the Third Proportional to 52,107 and 114,015

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Solution

The third proportional to 52,107 and 114,015 is: 249,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,107 : 114,015 = 114,015 : x
  2. Step 2: Convert to fraction form
    52,107/114,015 = 114,015/x
  3. Step 3: Cross multiply
    52,107x = 114,015 × 114,015
  4. Step 4: Simplify right side
    52,107x = 12,999,420,225
  5. Step 5: Solve for x
    x = 12,999,420,225/52,107
  6. Step 6: Final answer
    x = 249,475.51

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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.