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Finding the Third Proportional to 82,964 and 125,044

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Solution

The third proportional to 82,964 and 125,044 is: 188,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,964 : 125,044 = 125,044 : x
  2. Step 2: Convert to fraction form
    82,964/125,044 = 125,044/x
  3. Step 3: Cross multiply
    82,964x = 125,044 × 125,044
  4. Step 4: Simplify right side
    82,964x = 15,636,001,936
  5. Step 5: Solve for x
    x = 15,636,001,936/82,964
  6. Step 6: Final answer
    x = 188,467.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.