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Finding the Third Proportional to 122,476.13 and 249,872.81

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Solution

The third proportional to 122,476.13 and 249,872.81 is: 509,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,476.13 : 249,872.81 = 249,872.81 : x
  2. Step 2: Convert to fraction form
    122,476.13/249,872.81 = 249,872.81/x
  3. Step 3: Cross multiply
    122,476.13x = 249,872.81 × 249,872.81
  4. Step 4: Simplify right side
    122,476.13x = 62,436,422,426.66
  5. Step 5: Solve for x
    x = 62,436,422,426.66/122,476.13
  6. Step 6: Final answer
    x = 509,784.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.