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Finding the Third Proportional to 121,596 and 249,204

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Solution

The third proportional to 121,596 and 249,204 is: 510,729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,596 : 249,204 = 249,204 : x
  2. Step 2: Convert to fraction form
    121,596/249,204 = 249,204/x
  3. Step 3: Cross multiply
    121,596x = 249,204 × 249,204
  4. Step 4: Simplify right side
    121,596x = 62,102,633,616
  5. Step 5: Solve for x
    x = 62,102,633,616/121,596
  6. Step 6: Final answer
    x = 510,729.25

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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.