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Finding the Third Proportional to 114,013 and 249,916

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Solution

The third proportional to 114,013 and 249,916 is: 547,814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,013 : 249,916 = 249,916 : x
  2. Step 2: Convert to fraction form
    114,013/249,916 = 249,916/x
  3. Step 3: Cross multiply
    114,013x = 249,916 × 249,916
  4. Step 4: Simplify right side
    114,013x = 62,458,007,056
  5. Step 5: Solve for x
    x = 62,458,007,056/114,013
  6. Step 6: Final answer
    x = 547,814.78

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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.