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Finding the Third Proportional to 112,657 and 173,954

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Solution

The third proportional to 112,657 and 173,954 is: 268,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,657 : 173,954 = 173,954 : x
  2. Step 2: Convert to fraction form
    112,657/173,954 = 173,954/x
  3. Step 3: Cross multiply
    112,657x = 173,954 × 173,954
  4. Step 4: Simplify right side
    112,657x = 30,259,994,116
  5. Step 5: Solve for x
    x = 30,259,994,116/112,657
  6. Step 6: Final answer
    x = 268,602.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.