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Finding the Third Proportional to 112,265 and 133,024

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Solution

The third proportional to 112,265 and 133,024 is: 157,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,265 : 133,024 = 133,024 : x
  2. Step 2: Convert to fraction form
    112,265/133,024 = 133,024/x
  3. Step 3: Cross multiply
    112,265x = 133,024 × 133,024
  4. Step 4: Simplify right side
    112,265x = 17,695,384,576
  5. Step 5: Solve for x
    x = 17,695,384,576/112,265
  6. Step 6: Final answer
    x = 157,621.56

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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.