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Finding the Third Proportional to 122,673 and 249,858

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Solution

The third proportional to 122,673 and 249,858 is: 508,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,673 : 249,858 = 249,858 : x
  2. Step 2: Convert to fraction form
    122,673/249,858 = 249,858/x
  3. Step 3: Cross multiply
    122,673x = 249,858 × 249,858
  4. Step 4: Simplify right side
    122,673x = 62,429,020,164
  5. Step 5: Solve for x
    x = 62,429,020,164/122,673
  6. Step 6: Final answer
    x = 508,905.95

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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.