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Finding the Third Proportional to 31,597 and 73,145

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Solution

The third proportional to 31,597 and 73,145 is: 169,325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,597 : 73,145 = 73,145 : x
  2. Step 2: Convert to fraction form
    31,597/73,145 = 73,145/x
  3. Step 3: Cross multiply
    31,597x = 73,145 × 73,145
  4. Step 4: Simplify right side
    31,597x = 5,350,191,025
  5. Step 5: Solve for x
    x = 5,350,191,025/31,597
  6. Step 6: Final answer
    x = 169,325.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.