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Finding the Third Proportional to 102,249 and 219,078

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Solution

The third proportional to 102,249 and 219,078 is: 469,395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,249 : 219,078 = 219,078 : x
  2. Step 2: Convert to fraction form
    102,249/219,078 = 219,078/x
  3. Step 3: Cross multiply
    102,249x = 219,078 × 219,078
  4. Step 4: Simplify right side
    102,249x = 47,995,170,084
  5. Step 5: Solve for x
    x = 47,995,170,084/102,249
  6. Step 6: Final answer
    x = 469,395.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.