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Finding the Third Proportional to 52,299 and 114,318

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Solution

The third proportional to 52,299 and 114,318 is: 249,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,299 : 114,318 = 114,318 : x
  2. Step 2: Convert to fraction form
    52,299/114,318 = 114,318/x
  3. Step 3: Cross multiply
    52,299x = 114,318 × 114,318
  4. Step 4: Simplify right side
    52,299x = 13,068,605,124
  5. Step 5: Solve for x
    x = 13,068,605,124/52,299
  6. Step 6: Final answer
    x = 249,882.50

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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.