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Finding the Third Proportional to 112,448 and 175,584

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Solution

The third proportional to 112,448 and 175,584 is: 274,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,448 : 175,584 = 175,584 : x
  2. Step 2: Convert to fraction form
    112,448/175,584 = 175,584/x
  3. Step 3: Cross multiply
    112,448x = 175,584 × 175,584
  4. Step 4: Simplify right side
    112,448x = 30,829,741,056
  5. Step 5: Solve for x
    x = 30,829,741,056/112,448
  6. Step 6: Final answer
    x = 274,168.87

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.