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Finding the Third Proportional to 102,964 and 210,944

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Solution

The third proportional to 102,964 and 210,944 is: 432,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,964 : 210,944 = 210,944 : x
  2. Step 2: Convert to fraction form
    102,964/210,944 = 210,944/x
  3. Step 3: Cross multiply
    102,964x = 210,944 × 210,944
  4. Step 4: Simplify right side
    102,964x = 44,497,371,136
  5. Step 5: Solve for x
    x = 44,497,371,136/102,964
  6. Step 6: Final answer
    x = 432,164.36

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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.