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Finding the Third Proportional to 122,013 and 249,972

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Solution

The third proportional to 122,013 and 249,972 is: 512,125.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,013 : 249,972 = 249,972 : x
  2. Step 2: Convert to fraction form
    122,013/249,972 = 249,972/x
  3. Step 3: Cross multiply
    122,013x = 249,972 × 249,972
  4. Step 4: Simplify right side
    122,013x = 62,486,000,784
  5. Step 5: Solve for x
    x = 62,486,000,784/122,013
  6. Step 6: Final answer
    x = 512,125.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.