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Finding the Third Proportional to 113,254 and 169,392

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Solution

The third proportional to 113,254 and 169,392 is: 253,356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,254 : 169,392 = 169,392 : x
  2. Step 2: Convert to fraction form
    113,254/169,392 = 169,392/x
  3. Step 3: Cross multiply
    113,254x = 169,392 × 169,392
  4. Step 4: Simplify right side
    113,254x = 28,693,649,664
  5. Step 5: Solve for x
    x = 28,693,649,664/113,254
  6. Step 6: Final answer
    x = 253,356.61

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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.