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Finding the Third Proportional to 122,023 and 249,992

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Solution

The third proportional to 122,023 and 249,992 is: 512,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,023 : 249,992 = 249,992 : x
  2. Step 2: Convert to fraction form
    122,023/249,992 = 249,992/x
  3. Step 3: Cross multiply
    122,023x = 249,992 × 249,992
  4. Step 4: Simplify right side
    122,023x = 62,496,000,064
  5. Step 5: Solve for x
    x = 62,496,000,064/122,023
  6. Step 6: Final answer
    x = 512,165.74

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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.