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Finding the Third Proportional to 122,490 and 158,462

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Solution

The third proportional to 122,490 and 158,462 is: 204,998.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,490 : 158,462 = 158,462 : x
  2. Step 2: Convert to fraction form
    122,490/158,462 = 158,462/x
  3. Step 3: Cross multiply
    122,490x = 158,462 × 158,462
  4. Step 4: Simplify right side
    122,490x = 25,110,205,444
  5. Step 5: Solve for x
    x = 25,110,205,444/122,490
  6. Step 6: Final answer
    x = 204,998.00

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.