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Finding the Third Proportional to 73,521 and 110,295

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Solution

The third proportional to 73,521 and 110,295 is: 165,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,521 : 110,295 = 110,295 : x
  2. Step 2: Convert to fraction form
    73,521/110,295 = 110,295/x
  3. Step 3: Cross multiply
    73,521x = 110,295 × 110,295
  4. Step 4: Simplify right side
    73,521x = 12,164,987,025
  5. Step 5: Solve for x
    x = 12,164,987,025/73,521
  6. Step 6: Final answer
    x = 165,462.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.