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Finding the Third Proportional to 112,275 and 133,034

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Solution

The third proportional to 112,275 and 133,034 is: 157,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,275 : 133,034 = 133,034 : x
  2. Step 2: Convert to fraction form
    112,275/133,034 = 133,034/x
  3. Step 3: Cross multiply
    112,275x = 133,034 × 133,034
  4. Step 4: Simplify right side
    112,275x = 17,698,045,156
  5. Step 5: Solve for x
    x = 17,698,045,156/112,275
  6. Step 6: Final answer
    x = 157,631.22

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.