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Finding the Third Proportional to 102,963 and 210,943

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Solution

The third proportional to 102,963 and 210,943 is: 432,164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,963 : 210,943 = 210,943 : x
  2. Step 2: Convert to fraction form
    102,963/210,943 = 210,943/x
  3. Step 3: Cross multiply
    102,963x = 210,943 × 210,943
  4. Step 4: Simplify right side
    102,963x = 44,496,949,249
  5. Step 5: Solve for x
    x = 44,496,949,249/102,963
  6. Step 6: Final answer
    x = 432,164.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.