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Finding the Third Proportional to 112,962 and 169,455

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Solution

The third proportional to 112,962 and 169,455 is: 254,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,962 : 169,455 = 169,455 : x
  2. Step 2: Convert to fraction form
    112,962/169,455 = 169,455/x
  3. Step 3: Cross multiply
    112,962x = 169,455 × 169,455
  4. Step 4: Simplify right side
    112,962x = 28,714,997,025
  5. Step 5: Solve for x
    x = 28,714,997,025/112,962
  6. Step 6: Final answer
    x = 254,200.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.