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Finding the Third Proportional to 122,671 and 249,854

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Solution

The third proportional to 122,671 and 249,854 is: 508,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,671 : 249,854 = 249,854 : x
  2. Step 2: Convert to fraction form
    122,671/249,854 = 249,854/x
  3. Step 3: Cross multiply
    122,671x = 249,854 × 249,854
  4. Step 4: Simplify right side
    122,671x = 62,427,021,316
  5. Step 5: Solve for x
    x = 62,427,021,316/122,671
  6. Step 6: Final answer
    x = 508,897.96

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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.