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Finding the Third Proportional to 122,952 and 250,412

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Solution

The third proportional to 122,952 and 250,412 is: 510,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,952 : 250,412 = 250,412 : x
  2. Step 2: Convert to fraction form
    122,952/250,412 = 250,412/x
  3. Step 3: Cross multiply
    122,952x = 250,412 × 250,412
  4. Step 4: Simplify right side
    122,952x = 62,706,169,744
  5. Step 5: Solve for x
    x = 62,706,169,744/122,952
  6. Step 6: Final answer
    x = 510,005.28

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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.