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Finding the Third Proportional to 112,250.81 and 169,542.49

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Solution

The third proportional to 112,250.81 and 169,542.49 is: 256,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,250.81 : 169,542.49 = 169,542.49 : x
  2. Step 2: Convert to fraction form
    112,250.81/169,542.49 = 169,542.49/x
  3. Step 3: Cross multiply
    112,250.81x = 169,542.49 × 169,542.49
  4. Step 4: Simplify right side
    112,250.81x = 28,744,656,657.15
  5. Step 5: Solve for x
    x = 28,744,656,657.15/112,250.81
  6. Step 6: Final answer
    x = 256,075.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.