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Finding the Third Proportional to 112,811.63 and 169,242.19

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Solution

The third proportional to 112,811.63 and 169,242.19 is: 253,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,811.63 : 169,242.19 = 169,242.19 : x
  2. Step 2: Convert to fraction form
    112,811.63/169,242.19 = 169,242.19/x
  3. Step 3: Cross multiply
    112,811.63x = 169,242.19 × 169,242.19
  4. Step 4: Simplify right side
    112,811.63x = 28,642,918,029.79
  5. Step 5: Solve for x
    x = 28,642,918,029.79/112,811.63
  6. Step 6: Final answer
    x = 253,900.41

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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.