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Finding the Third Proportional to 71,537.63 and 154,146.38

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Solution

The third proportional to 71,537.63 and 154,146.38 is: 332,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,537.63 : 154,146.38 = 154,146.38 : x
  2. Step 2: Convert to fraction form
    71,537.63/154,146.38 = 154,146.38/x
  3. Step 3: Cross multiply
    71,537.63x = 154,146.38 × 154,146.38
  4. Step 4: Simplify right side
    71,537.63x = 23,761,104,925.64
  5. Step 5: Solve for x
    x = 23,761,104,925.64/71,537.63
  6. Step 6: Final answer
    x = 332,148.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.