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Finding the Third Proportional to 112,820.34 and 174,120.89

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Solution

The third proportional to 112,820.34 and 174,120.89 is: 268,728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,820.34 : 174,120.89 = 174,120.89 : x
  2. Step 2: Convert to fraction form
    112,820.34/174,120.89 = 174,120.89/x
  3. Step 3: Cross multiply
    112,820.34x = 174,120.89 × 174,120.89
  4. Step 4: Simplify right side
    112,820.34x = 30,318,084,552.04
  5. Step 5: Solve for x
    x = 30,318,084,552.04/112,820.34
  6. Step 6: Final answer
    x = 268,728.88

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