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Finding the Third Proportional to 48,225 and 72,289

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Solution

The third proportional to 48,225 and 72,289 is: 108,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,225 : 72,289 = 72,289 : x
  2. Step 2: Convert to fraction form
    48,225/72,289 = 72,289/x
  3. Step 3: Cross multiply
    48,225x = 72,289 × 72,289
  4. Step 4: Simplify right side
    48,225x = 5,225,699,521
  5. Step 5: Solve for x
    x = 5,225,699,521/48,225
  6. Step 6: Final answer
    x = 108,360.80

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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.