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Finding the Third Proportional to 114,011 and 249,912

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Solution

The third proportional to 114,011 and 249,912 is: 547,806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,011 : 249,912 = 249,912 : x
  2. Step 2: Convert to fraction form
    114,011/249,912 = 249,912/x
  3. Step 3: Cross multiply
    114,011x = 249,912 × 249,912
  4. Step 4: Simplify right side
    114,011x = 62,456,007,744
  5. Step 5: Solve for x
    x = 62,456,007,744/114,011
  6. Step 6: Final answer
    x = 547,806.86

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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.