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Finding the Third Proportional to 112,253.63 and 177,717.38

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Solution

The third proportional to 112,253.63 and 177,717.38 is: 281,358.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,253.63 : 177,717.38 = 177,717.38 : x
  2. Step 2: Convert to fraction form
    112,253.63/177,717.38 = 177,717.38/x
  3. Step 3: Cross multiply
    112,253.63x = 177,717.38 × 177,717.38
  4. Step 4: Simplify right side
    112,253.63x = 31,583,465,376.89
  5. Step 5: Solve for x
    x = 31,583,465,376.89/112,253.63
  6. Step 6: Final answer
    x = 281,358.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.