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Finding the Third Proportional to 122,019 and 249,984

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Solution

The third proportional to 122,019 and 249,984 is: 512,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,019 : 249,984 = 249,984 : x
  2. Step 2: Convert to fraction form
    122,019/249,984 = 249,984/x
  3. Step 3: Cross multiply
    122,019x = 249,984 × 249,984
  4. Step 4: Simplify right side
    122,019x = 62,492,000,256
  5. Step 5: Solve for x
    x = 62,492,000,256/122,019
  6. Step 6: Final answer
    x = 512,149.75

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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.